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Popular >

simplify 3sqrt(125)

Solution

simplify

3125

Solution

155

+1

Decimal Notation

33.54101 \dots

Solution steps

3125

Prime factorization of

125 : 5^{3}

= 3 5^{3}

Apply exponent rule:

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

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

= 3 5^{2} \cdot 5

Apply radical rule:

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

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

= 3 5^{2} 5

Apply radical rule:

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

5^{2} = 5

= 3 \cdot 55

Multiply the numbers:

3 \cdot 5 = 15

= 155

Popular Examples

simplify (-x)(-y)(-z)simplify

(- x) (- y) (- z)

- 3 x^{2} + 30 x - 90 = 0

factor 3p^2-35p-12 factor

3 p^{2} - 35 p - 12

2 x = \frac{4}{3}

(x - 9)^{2} = - 5

Frequently Asked Questions (FAQ)

What is 3sqrt(125) ?
The solution to 3sqrt(125) is 15sqrt(5)