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Popular >

simplify 10sqrt(75)

Solution

simplify

1075

Solution

503

+1

Solution steps

1075

Prime factorization of

75 : 3 \cdot 5^{2}

= 10 3 \cdot 5^{2}

Apply radical rule:

ab = a b, a \geq 0, b \geq 0

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

= 103 5^{2}

Apply radical rule:

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

5^{2} = 5

= 103 \cdot 5

Multiply the numbers:

10 \cdot 5 = 50

= 503

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Frequently Asked Questions (FAQ)

What is 10sqrt(75) ?
The solution to 10sqrt(75) is 50sqrt(3)