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Popular >

simplify 8sqrt(75)

Solution

simplify

875

Solution

403

+1

Decimal Notation

69.28203 \dots

Solution steps

875

Prime factorization of

75 : 3 \cdot 5^{2}

= 8 3 \cdot 5^{2}

Apply radical rule:

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

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

= 83 5^{2}

Apply radical rule:

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

5^{2} = 5

= 83 \cdot 5

Multiply the numbers:

8 \cdot 5 = 40

= 403

Popular Examples

simplify 4^{5/2}simplify

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x = x + \frac{x}{3 + 1}

0 \leq x \leq 1

simplify (3sqrt(20))/(3sqrt(4))simplify

\frac{3 20}{3 4}

Frequently Asked Questions (FAQ)

What is 8sqrt(75) ?
The solution to 8sqrt(75) is 40sqrt(3)