Last updated on May 26th, 2025
If a number is multiplied by itself, the result is a square. The inverse of the square is a square root. The square root is used in various fields such as vehicle design, finance, etc. Here, we will discuss the square root of 36/100.
The square root is the inverse of the square of the number. 36/100 is a perfect square. The square root of 36/100 is expressed in both radical and exponential form. In the radical form, it is expressed as √(36/100), whereas (36/100)^(1/2) in the exponential form. √(36/100) = 0.6, which is a rational number because it can be expressed in the form of p/q, where p and q are integers and q ≠ 0.
The prime factorization method and simplification can be used since 36/100 is a perfect square. Let's learn the following method:
To find the square root of a fraction, we take the square root of the numerator and the denominator separately:
Step 1: Break down 36 and 100 into their respective perfect squares. 36 = 6^2 and 100 = 10^2
Step 2: The square root of 36/100 is √(36)/√(100)
Step 3: Calculate the square roots. √36 = 6 and √100 = 10
Step 4: Combine the results to get the square root of the fraction. √(36/100) = 6/10 = 0.6
Students often make mistakes while finding square roots, such as forgetting about the negative square root or skipping necessary simplification steps. Let's look at a few common mistakes that students tend to make in detail.
Students often make mistakes while finding square roots, such as forgetting about the negative square root or skipping necessary simplification steps. Let's look at a few common mistakes that students tend to make in detail.
Can you help Max find the area of a square box if its side length is given as √(49/64)?
The area of the square is 0.765625 square units.
The area of the square = side^2.
The side length is given as √(49/64).
Area of the square = (√(49/64))^2 = 49/64 = 0.765625.
Therefore, the area of the square box is 0.765625 square units.
A square field has an area of 36/100 square meters. If each of the sides is √(36/100), what will be the square meters of half of the field?
0.18 square meters
We can divide the given area by 2 as the field is square-shaped.
Dividing 36/100 by 2 = 18/100 = 0.18
So, half of the field measures 0.18 square meters.
Calculate √(36/100) x 5.
3
The first step is to find the square root of 36/100, which is 0.6.
The second step is to multiply 0.6 by 5.
So, 0.6 x 5 = 3
What will be the square root of (64/100 + 36/100)?
The square root is 1.
To find the square root, we need to find the sum of (64/100 + 36/100).
64/100 + 36/100 = 100/100 = 1, and then √1 = 1.
Therefore, the square root of (64/100 + 36/100) is ±1.
Find the perimeter of a rectangle if its length ‘l’ is √(16/25) units and the width ‘w’ is 8 units.
We find the perimeter of the rectangle as 16.8 units.
Perimeter of the rectangle = 2 × (length + width)
Perimeter = 2 × (√(16/25) + 8)
= 2 × (0.8 + 8)
= 2 × 8.8
= 16.8 units.
Jaskaran Singh Saluja is a math wizard with nearly three years of experience as a math teacher. His expertise is in algebra, so he can make algebra classes interesting by turning tricky equations into simple puzzles.
: He loves to play the quiz with kids through algebra to make kids love it.