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Popular >

simplify 7sqrt(75)

Solution

simplify

775

Solution

353

+1

Solution steps

775

Prime factorization of

75 : 3 \cdot 5^{2}

= 7 3 \cdot 5^{2}

Apply radical rule:

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

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

= 73 5^{2}

Apply radical rule:

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

5^{2} = 5

= 73 \cdot 5

Multiply the numbers:

7 \cdot 5 = 35

= 353

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Frequently Asked Questions (FAQ)

What is 7sqrt(75) ?
The solution to 7sqrt(75) is 35sqrt(3)