What is (sqrt(640))/(sqrt(5)) ?

The solution to (sqrt(640))/(sqrt(5)) is 8sqrt(2)

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simplify (sqrt(640))/(sqrt(5))

simplify

\frac{640}{5}

82

Decimal Notation

11.31370 \dots

Solution steps

\frac{640}{5}

Apply radical rule:

\frac{a}{b} = \frac{a}{b}, a \geq 0, b \geq 0

\frac{640}{5} = \frac{640}{5}

= \frac{640}{5}

Divide the numbers:

\frac{640}{5} = 128

= 128

Prime factorization of

128 : 2^{7}

= 2^{7}

Apply exponent rule:

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

2^{7} = 2^{6} \cdot 2

= 2^{6} \cdot 2

Apply radical rule:

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

2^{6} \cdot 2 = 2^{6} 2

= 2^{6} 2

2^{6} = 8

= 82

\frac{e ^{0.01} - 1}{0.01}

\frac{1 0 ^{- 5}}{1 0 ^{- 3}}

x (2 - x) + (x + 4) (2 - x) + 3 x

27 - 125 x^{3}

\frac{2}{1 + 3 i}

What is (sqrt(640))/(sqrt(5)) ?
The solution to (sqrt(640))/(sqrt(5)) is 8sqrt(2)