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Popular >

simplify 5sqrt(125)

Solution

simplify

5125

Solution

255

+1

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

Popular Examples

simplify 7/2*3 simplify

\frac{7}{2} \cdot 3

(24*x/(100))+(23*(100-x)/(100))=24.31

(24 \cdot \frac{x}{100}) + (23 \cdot \frac{100 - x}{100}) = 24.31

simplify (26!)/(22!)simplify

\frac{26 !}{22 !}

(3x-2)/4 =(x-2)/2

\frac{3 x - 2}{4} = \frac{x - 2}{2}

9 u^{2} + 30 u = - 25

Frequently Asked Questions (FAQ)

What is 5sqrt(125) ?
The solution to 5sqrt(125) is 25sqrt(5)