1.

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

Answer»

Answer:-

The SQUARE root of 8836 is 94

Solution:-

Prime factorization of 8836:-

\begin{array}{r|l}\sf2&\sf8836\\\cline{<klux>2</klux>-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 ".


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