Question

$\sqrt{324}$
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Answer 1

Answer:

18

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

$\sqrt{324}\\=\sqrt{2*2*3*3*3*3} \:\:\:[By\:prime\:factorization\:of\:324]\\=2*3*3\\=18$

• SQUARE ROOT - DEFINITION  A number which multiplied by itself to produce the original number is called the square root of that original number.  Example:  Square root of 16 is =  √16 = 4  ∵4×4=16
• SQUARE ROOT THROUGH PRIME FACTORISATION - LAW  :  To find the square root of the given number through prime factorization method we follows the following steps:
• (i) First we divide the given number in to its prime factor.
• (ii)  Make the pair of similar factors such that the both factors in each pair are equal.
• (iii) Take one factor from pair.
• (iv) Find the product of factor that obtained by taking one factor from each pair.
• That product is the square root of the given number.

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