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# Find the square roots of the following numbers by the Prime Factorisation Method.(x) 8100

Q.4 Find the square roots of the following numbers by the Prime Factorisation Method.

(x) 8100

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The solution for the above-written question is as follows

We have in 8100.

By prime factorization, we get :      $8100 = 2\times2\times3\times3\times3\times3\times5\times5$

or                                                     $8100 = (2\times3\times3\times5)^{2} = 90^{2}$.

So square root of 8100 is 90.

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