Question

find the square root of 3600 using the method of prime factorization

Answer 1

↑ Here is your answer ↓
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Find the prime factors of 3600,

$3600 = 2^4 * 3^2 * 5^2$

To find the square root, we should halve the exponents

So,

$\sqrt{3600} = 2^2 * 3^1 * 5^1$

$\sqrt{3600} = 4*3*5$

$\sqrt{3600} = 60$

Answer 2

Hey!!!
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●By doing LCM of 3600 we will get 2×2×2×2×3×3×5×5
By prime factorise method we get,
$\sqrt{3600} = \sqrt{2 \times 2 \times 2 \times 2 \times 5 \times 5 \times 3 \times 3} \\ = 2 \times 2 \times 5 \times 3 = 60$
So,The answer is 60 by prime factorisation process.
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Hope it helps!!! :)