What is simplify-5sqrt(125) ?

The solution to simplify-5sqrt(125) is -25sqrt(5)

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simplify-5sqrt(125)

simplify

- 5125

- 255

Decimal Notation

- 55.90169 \dots

Solution steps

- 5125

Prime factorization of

125 : 5^{3}

= - 5 5^{3}

Apply exponent rule:

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

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

= - 5 5^{2} \cdot 5

Apply radical rule:

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

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

= - 5 5^{2} 5

Apply radical rule:

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

5^{2} = 5

= - 5 \cdot 55

Multiply the numbers:

- 5 \cdot 5 = - 25

= - 255

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

6 4^{2}

2 i^{6} (3 i + 4)

\frac{1}{x} \cdot \frac{1}{x ^{2}}

6 (- 0.3 b - 5 b + 3) - 4 b