Question

find the square root of 202500 by prime factorization

Answer 1

Hey mate....^_^

Here's ur ans. -----

√202500 = √2×2×3×3×3×3×5×5×5×5

=2×3×3×5×5
= 450

Answer 2

↑ Here is your answer ↓
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Prime factorization,

$202500 --\ \textgreater \ 2 * 2 * 3 * 3 * 3 * 3 * 5 * 5 * 5 * 5$

$202500--\ \textgreater \ 2^2 * 3^4 * 5^4$

Halve the exponents,

$\sqrt {202500} = 2^1 * 3^2 * 5^2$

$\sqrt {202500} = 2* 9 * 25$

$\sqrt {202500} = 450$