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Popular >

simplify sqrt(600)

Solution

simplify

600

Solution

106

+1

Solution steps

600

Prime factorization of

600 : 2^{3} \cdot 3 \cdot 5^{2}

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

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

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

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

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

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

Apply radical rule:

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

2^{2} = 2

= 2 2 \cdot 3 5^{2}

Apply radical rule:

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

5^{2} = 5

= 2 2 \cdot 3 \cdot 5

Multiply the numbers:

2 \cdot 5 = 10

= 10 2 \cdot 3

Multiply the numbers:

2 \cdot 3 = 6

= 106

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Frequently Asked Questions (FAQ)

What is sqrt(600) ?
The solution to sqrt(600) is 10sqrt(6)