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Popular >

simplify sqrt(1200)

Solution

simplify

1200

Solution

203

+1

Solution steps

1200

Prime factorization of

1200 : 2^{4} \cdot 3 \cdot 5^{2}

= 2^{4} \cdot 3 \cdot 5^{2}

2^{4} \cdot 3 \cdot 5^{2} = 2^{4} 3 5^{2}

= 2^{4} 3 5^{2}

2^{4} = 4

= 43 5^{2}

Apply radical rule:

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

5^{2} = 5

= 43 \cdot 5

Multiply the numbers:

4 \cdot 5 = 20

= 203

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Frequently Asked Questions (FAQ)

What is sqrt(1200) ?
The solution to sqrt(1200) is 20sqrt(3)