Question

Find the square roots of the following numbers by prime factorisation method .
I. 8836​

Answer 1

Answer:

√8836

answer is a 94

Step-by-step explanation:

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Answer 2

Answer:-

The square root of 8836 is 94

Solution:-

Prime factorization of 8836:-

$\begin{array}{r|l}\sf2&\sf8836\\\cline{2-2}\sf2&\sf4418\\\cline{2-2}\sf47&\sf2209\\\cline{2-2}\sf47&\sf47\\\cline{2-2}&\sf1\end{array}$

By prime factorization we got,

8836 = 2 × 2 × 47 × 47

= 2 × 47

= 94

Therefore,

$\sqrt{8836} = 94$

Now, Verification:-

8836 = 94 × 94

Therefore,

( 94 )² = 8836

L.H.S = R.H.S

Hence, Proved

Required Answer:-

Hence, The square root of 8836 is 94.

More Info:-

• A natural number is called a perfect square if, it is the square of some natural number.
• The square of a number is that number raised to the power 2.
• The cube root of a number " x " is the number whose cube is " x ".