What is simplify (sqrt(32))/5 ?

The solution to simplify (sqrt(32))/5 is (4sqrt(2))/5

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Simplify square root of 32/5

simplify

\frac{32}{5}

\frac{4 2}{5}

Decimal

1.13137 \dots

Solution steps

\frac{32}{5}

Prime factorization of

32 : 2^{5}

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

Apply exponent rule:

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

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

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

Apply radical rule:

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

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

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

2^{4} = 4

= \frac{4 2}{5}

\frac{( 11 x ^{2} \cdot ( 33 x ^{3} ) )}{( 4 x + 12 x ^{2} )}

\frac{92}{100}

x^{2} - 8 x - 16 = 0

3.2%

x, 2 x - 1 = 7

What is simplify (sqrt(32))/5 ?
The solution to simplify (sqrt(32))/5 is (4sqrt(2))/5