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Popular >

simplify 9sqrt(125)

Solution

simplify

9125

Solution

455

+1

Solution steps

9125

Prime factorization of

125 : 5^{3}

= 9 5^{3}

Apply exponent rule:

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

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

= 9 5^{2} \cdot 5

Apply radical rule:

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

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

= 9 5^{2} 5

Apply radical rule:

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

5^{2} = 5

= 9 \cdot 55

Multiply the numbers:

9 \cdot 5 = 45

= 455

Popular Examples

5(2x+4)+2<= 2x+2

5 (2 x + 4) + 2 \leq 2 x + 2

6 x^{2} + x + 1 = 6 x

factor x^4+x^2+1 factor

x^{4} + x^{2} + 1

9 = 5 x + 27 + 4 x

factor 3n^3+9n^2 factor

3 n^{3} + 9 n^{2}

Frequently Asked Questions (FAQ)

What is 9sqrt(125) ?
The solution to 9sqrt(125) is 45sqrt(5)