What is (sqrt(320))/(sqrt(10)) ?

The solution to (sqrt(320))/(sqrt(10)) is 4sqrt(2)

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simplify (sqrt(320))/(sqrt(10))

simplify

\frac{320}{10}

42

Solution steps

\frac{320}{10}

Apply radical rule:

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

\frac{320}{10} = \frac{320}{10}

= \frac{320}{10}

Divide the numbers:

\frac{320}{10} = 32

= 32

Prime factorization of

32 : 2^{5}

= 2^{5}

Apply exponent rule:

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

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

= 2^{4} \cdot 2

Apply radical rule:

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

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

= 2^{4} 2

2^{4} = 4

= 42

\frac{1}{2} cos (x)

\frac{3 ( u ) ^{3}}{15 u ^{7}}

8 x - 10 - x^{2} - 2 x

(0.1)^{- 2}

(n^{2} + n)^{2}

What is (sqrt(320))/(sqrt(10)) ?
The solution to (sqrt(320))/(sqrt(10)) is 4sqrt(2)