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Popular >

simplify 4sqrt(125)

Solution

simplify

4125

Solution

205

+1

Solution steps

4125

Prime factorization of

125 : 5^{3}

= 4 5^{3}

Apply exponent rule:

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

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

= 4 5^{2} \cdot 5

Apply radical rule:

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

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

= 4 5^{2} 5

Apply radical rule:

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

5^{2} = 5

= 4 \cdot 55

Multiply the numbers:

4 \cdot 5 = 20

= 205

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Frequently Asked Questions (FAQ)

What is 4sqrt(125) ?
The solution to 4sqrt(125) is 20sqrt(5)