What is simplify (sqrt(125))/9 ?

The solution to simplify (sqrt(125))/9 is (5sqrt(5))/9

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Simplify square root of 125/9

simplify

\frac{125}{9}

\frac{5 5}{9}

Decimal Notation

1.24225 \dots

Solution steps

\frac{125}{9}

Prime factorization of

125 : 5^{3}

= \frac{5 ^{3}}{9}

Apply exponent rule:

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

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

= \frac{5 ^{2} \cdot 5}{9}

Apply radical rule:

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

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

= \frac{5 ^{2} 5}{9}

Apply radical rule:

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

5^{2} = 5

= \frac{5 5}{9}

12 x^{3}

0.5%

87.5%

144/16

x, 0.5 x = - 1

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