The square root of 24 is a number which when multiplied by itself, results in the number 24. The value of a square root can be a decimal, whole number, and even a negative number. We will now look at how to calculate the square root of 24 and see a few interesting problems.

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Square Root of 24: √24 = 4.8989...Square of 24: 24² = 576

 1 What is the Square Root of 24? 2 Is Square Root of 24 Rational or Irrational? 3 How to Find the Square Root of 24? 4 Important Notes 5 FAQs on Square Root of 24

## What is the Square Root of 24?

The square root of a number n is written as √n. It is the inverse operation of squaring a number just like multiplying is the inverse operation to dividing. The square root of 24 can be written in different ways

## Is Square Root of 24 Rational or Irrational?

Since the square root of 24 cannot be expressed as p/q, it is an irrational number.
Long Division MethodPrime Factorization Method

One can find out more about the different methods by clicking here

### Long Division Method

The square root of 24 by long division method consists of the following steps:

Step 1: Starting from the left, first pair 24 and place a bar over the digits. We also pair the 0s in decimals in pairs of 2 from left to right.Step 3: Drag a pair of 0’s down and fill it next to 8 to make the dividend 800.Step 4: Double the divisor 4, and enter 8 below with a blank digit on its right. Guess the largest possible digit(X) to fill in the blank and the quotient for which the product of 8X and X results in a value less than or equal to 800. Divide and write the remainder.

See more: What Two Things Can You Never Eat For Breakfast Riddle Answer

Step 5: Repeat this process to get the decimal places you want. ### Prime Factorization Method

The first step in this method is to find the prime factors of 24.24 = 2 × 2 × 2 × 3To find the root from here, we can simplify this to√24 = √(2 × 2 × 2 × 3)√24 = 2√6We can either leave it at this or find the root of 6 which is 2.45 and simplify further

Therefore, Square Root of 24 = 2√6 ≅ 4.9

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Important Notes

There are 2 real roots of 24, 4.899 and -4.899There will be n/2 digits in the square root of an even number with n digits.There will be (n+2)/2 digits in the square root of an odd number with n digits