Square of 4624

The square of a number is the product of the number itself.

The square of 4624 is the result of multiplying a number by itself.

The square of a number always ends in 0, 1, 4, 5, 6, or 9.

We write it in math as \(a^2\), where \(a\) is the base and 2 is the exponent.

The square of a positive and a negative number is always positive.

For example, \(5^2 = 25\); \((-5)^2 = 25\).

The square root of 4624 is \(\sqrt{4624} = 68\).

Square of 68 in exponential form: \(68^2\)

Square of 68 in arithmetic form: \(68 \times 68\)

The square root of a number is finding the number which, when multiplied by itself, gives the original number. So let’s learn how to find the square root of a number. These are the common methods used to find the square root of a number.

• By Division Method
   
• Using a Formula
   
• Using a Calculator

In this method, we will divide the number by its potential square root to check if the quotient equals the divisor. Let’s find the square root of 4624.

Step 1: Identify the number. Here, the number is 4624.

Step 2: Divide the number by a potential root, and check if it equals the divisor. \(68 \times 68 = 4624\).

The square root of 4624 is 68.

In this method, the formula, \(a^2\), is used to find the square of a number. Where \(a\) is the number.

Step 1: Understanding the equation Square of a number = \(a^2\) \(a^2 = a \times a\)

Step 2: Identifying the number and substituting the value in the equation.

Here, \(\sqrt{a}\) is 68

So: \(68^2 = 68 \times 68 = 4624\)

Using a calculator to find the square root of a number is the easiest method. Let’s learn how to use a calculator to find the square root of 4624.

Step 1: Enter the number in the calculator Enter 4624 in the calculator.

Step 2: Use the square root function to find the root. Press the square root button \(\sqrt{}\).

Step 3: Read the answer. Here, the square root of 4624 is 68.

Tips and tricks make it easy for students to understand and learn the square root of a number. To master the square root of a number, these tips and tricks will help students.

• The square root of an even number is always an integer if the number is a perfect square. For example, \(\sqrt{36} = 6\).
   
• The square root of an odd number is not always an integer.
   
• The last digit of a perfect square can be 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, \(\sqrt{1.44} = 1.2\).
   
• The square root of a perfect square is always a whole number. For example, \(\sqrt{144} = 12\).

• Perfect Square: A number that is the square of an integer. For example, 36 is a perfect square because it is \(6^2\).
   
• Square Root: The number which, when multiplied by itself, gives the original number. For example, the square root of 25 is 5.
   
• Exponential Form: Expressing a number as a base raised to a power. For example, \(9^2\) where 9 is the base and 2 is the power.
   
• Integer: A whole number that is not a fraction. It can be positive, negative, or zero.
   
• Radius: The distance from the center of a circle to any point on its circumference.