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.

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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