What is simplify (sqrt(32))/(25) ?

The solution to simplify (sqrt(32))/(25) is (4sqrt(2))/(25)

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Simplify square root of 32/25

simplify

\frac{32}{25}

\frac{4 2}{25}

Decimal

0.22627 \dots

Solution steps

\frac{32}{25}

Prime factorization of

32 : 2^{5}

= \frac{2 ^{5}}{25}

Apply exponent rule:

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

2^{5} = 2^{4} \cdot 2

= \frac{2 ^{4} \cdot 2}{25}

Apply radical rule:

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

2^{4} \cdot 2 = 2^{4} 2

= \frac{2 ^{4} 2}{25}

2^{4} = 4

= \frac{4 2}{25}

\frac{( 3 )}{2}

x, 3 x = - 9

- 7 \cdot (- m)

7 x - 3

- (2 c - 8)

What is simplify (sqrt(32))/(25) ?
The solution to simplify (sqrt(32))/(25) is (4sqrt(2))/(25)