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How do you find the square root of 324 ?

Answer
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Hint:
For finding the square root of 324 we need to break down this number into the product of numbers by doing the prime factor. Then we will solve this by making a pair if it will be otherwise we will write the same as we got from the factor.

Complete Step by Step Solution:
So the prime breakdown of the number 324 will be
324=2×162
Again doing the breakdown of 162 , we will get
324=2×2×81
Again doing the breakdown of 81 , we will get
324=2×2×3×27
Similarly, we will do this breakdown till possible and finally, we will get the number
324=2×2×3×3×3×3
So, now from the question, we can write it as
324=(2×2)(3×3)(3×3)
The right side of the equation can be written as
324=2×3×3
Again the right side of the equation on solving it can be written as
324=18

therefore, the square root of 324 will be 18.

Additional information:
The square root of a number is a number when multiplied by itself equals the whole number. Some of the numbers don’t have the square root.

Note:
This can be solved by using the shorter way too. Only we need to break it into such a way that there should be a square of it. Like we can write the above question as
324=2×162
And taking the RHS, we will split both the root so we get
324=2×2×81
Taking root both sides, we get
324=2×2×81
And as we know that 81=9 , hence by substituting this value, we will get the equation as
324=92×2
And on solving, we get
324=18
So, in this way also we can solve such types of questions.
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