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Popular >

simplify sqrt(35600)

Solution

simplify

35600

Solution

2089

+1

Solution steps

35600

Prime factorization of

35600 : 2^{4} \cdot 5^{2} \cdot 89

= 2^{4} \cdot 5^{2} \cdot 89

2^{4} \cdot 5^{2} \cdot 89 = 2^{4} 5^{2} 89

= 2^{4} 5^{2} 89

2^{4} = 4

= 4 5^{2} 89

Apply radical rule:

a^{2} = a, a \geq 0

5^{2} = 5

= 4 \cdot 589

Multiply the numbers:

4 \cdot 5 = 20

= 2089

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Frequently Asked Questions (FAQ)

What is sqrt(35600) ?
The solution to sqrt(35600) is 20sqrt(89)