Question

square of 657666025 by prime factorisation method​

Answer 1

Step-by-step Explanation:

Given that: 657666025

To find: Square of given number by prime factorisation method.

Solution:

First do the prime factorisation of 657666025

$\begin{array}{r|1}5&657666025\\\cline{2-2}5&1 31533205\\\cline{2-2}23&26306641\\\cline{2-2}23&1143767\\\cline{2-2}223&49729\\\cline{2-2}223&223\\\cline{2-2}&1$

$657666025 = {5}^{2} \times {(23)}^{2} \times {(223)}^{2} \\ \\ \sqrt{657666025} = \sqrt{ {5}^{2} \times {(23)}^{2} \times {(223)}^{2}} \\ \\ \sqrt{657666025} = \sqrt{(5 \times 23 \times 223) ^{2} } \\ \\ \sqrt{657666025} = 5 \times 23 \times 223 \\ \\ \sqrt{657666025} = 25645$

Thus square root of 657666025 is 25645

Hope it helps you.

Answer 2

Answer:

root of 657666025 is 25645

root of 657666025 is 25645Hope it helps you.