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449 LearnersLast updated on August 5, 2025
Square of -36
What is the Square of -36
The square of a number is the product of the number by itself. The square of -36 is (-36) × (-36). The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as (-36)², where -36 is the base and 2 is the exponent. The square of a positive and a negative number is always positive. For example, 5² = 25; (-5)² = 25.
The square of -36 is (-36) × (-36) = 1296.
Square of -36 in exponential form: (-36)²
Square of -36 in arithmetic form: (-36) × (-36)
How to Calculate the Value of Square of -36
The square of a number is multiplying the number by itself. So let’s learn how to find the square of a number. These are the common methods used to find the square of a number.
- By Multiplication Method
- Using a Formula
- Using a Calculator
By the Multiplication Method
In this method, we will multiply the number by itself to find the square. The product here is the square of the number. Let’s find the square of -36.
Step 1: Identify the number. Here, the number is -36
Step 2: Multiplying the number by itself, we get, (-36) × (-36) = 1296. The square of -36 is 1296.
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Using a Formula (a²)
By Using a Calculator
Using a calculator to find the square of a number is the easiest method. Let’s learn how to use a calculator to find the square of -36.
Step 1: Enter the number in the calculator Enter -36 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is (-36) × (-36)
Step 3: Press the equal to button to find the answer Here, the square of -36 is 1296.
Tips and Tricks for the Square of -36: Tips and tricks make it easy for students to understand and learn the square of a number. To master the square of a number, these tips and tricks will help students.
- The square of an even number is always an even number. For example, 6² = 36
- The square of an odd number is always an odd number. For example, 5² = 25
- The last digit of the square of a number is always 0, 1, 4, 5, 6, or 9.
- If the square root of a number is a fraction or a decimal, then the number is not a perfect square. For example, √1.44 = 1.2
- The square root of a perfect square is always a whole number. For example, √144 = 12.
Common Mistakes to Avoid When Calculating the Square of -36
Mistakes are common among kids when doing math, especially when it is finding the square of a number. Let’s learn some common mistakes to master the squaring of a number.
Mistake 1
Calculation errors:
Calculation errors mostly happen when students skip the steps or else by swapping the digits. To avoid it, students should double-check the answer. They can double-check by finding the square root of the solution they found. For example, the square of -25 is 625, and the square root of 625 is ±25.
Mistake 2
Errors while using the formula.
The formula to find the square of the number is a². Instead, students may use (-36)² with (3 + 6)² or (-30 + 6)². So students should check and use the correct formula and double-check the answers to avoid all the confusion.
Mistake 3
Confusing with square and square root.
Not understanding the concept of square and square root can lead to confusion in students. To avoid it, students should understand the concept that square and square root are inverse operations. The square of 5 is 25 and the square root of 25 is ±5.
Mistake 4
Errors in parentheses.
Ignoring the parentheses when finding the square of a number can lead to errors. So, students should understand parentheses. And do the operations in the correct order to avoid error.
Mistake 5
Not practicing regularly.
Regular practice is required to master the square of a number. So students should do regular practice to avoid errors.
Solved Examples on Square of -36
Problem 1
Find the length of the square, where the area of the square is 1296 cm².
The area of a square = a²
So, the area of a square = 1296 cm²
So, the length = √1296 = 36.
The length of each side = 36 cm
Explanation
The length of a square is 36 cm.
Because the area is 1296 cm², the length is √1296 = 36.
Problem 2
Alice is planning to tile her square floor of length 36 feet. The cost to tile a foot is 4 dollars. Then how much will it cost to tile the full floor?
The length of the floor = 36 feet
The cost to tile 1 square foot of floor = 4 dollars.
To find the total cost to tile, we find the area of the floor,
Area of the floor = area of the square = a²
Here a = 36
Therefore, the area of the floor = 36² = 36 × 36 = 1296.
The cost to tile the floor = 1296 × 4 = 5184.
The total cost = 5184 dollars
Explanation
To find the cost to tile the floor, we multiply the area of the floor by cost to tile per foot. So, the total cost is 5184 dollars.
Problem 3
Find the area of a circle whose radius is 36 meters.
The area of the circle = 4071.5 m²
Explanation
The area of a circle = πr²
Here, r = 36
Therefore, the area of the circle = π × 36² = 3.14 × 36 × 36 = 4071.5 m².
Problem 4
The area of the square is 1296 cm². Find the perimeter of the square.
The perimeter of the square is 144 cm.
Explanation
The area of the square = a²
Here, the area is 1296 cm²
The length of the side is √1296 = 36
Perimeter of the square = 4a
Here, a = 36
Therefore, the perimeter = 4 × 36 = 144.
Problem 5
Find the square of -35.
The square of -35 is 1225
Explanation
The square of -35 is multiplying -35 by -35. So, the square = (-35) × (-35) = 1225
FAQs on Square of -36
1.What is the square of -36?
2.What is the square root of 36?
3.Is 36 a perfect square?
4.What are the first few multiples of 36?
5.What is the square of 35?
Important Glossaries for Square of -36.
- Perfect square: A number that is the square of an integer. For example, 36 is a perfect square because it is 6².
- Negative number: A number less than zero. For example, -36 is a negative number.
- Exponential form: A way of writing numbers using a base and an exponent, such as (-36)².
- Square root: The inverse operation of squaring a number. The square root of a number is a value that, when multiplied by itself, gives the original number.
- Multiplication: The mathematical operation of scaling one number by another. For example, (-36) × (-36) = 1296.
Vikrant Sharma
About the Author
Vikrant is a passionate Mathematics teacher with over 5 years of teaching experience in both conventional and Vedic Maths. His student-focused approach combines clear concepts with motivation and encouragement, helping students build confidence and develo
Fun Fact
: He loves to play the quiz with kids through algebra to make kids love it.
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