What is (sqrt(40))/(sqrt(2)) ?

The solution to (sqrt(40))/(sqrt(2)) is 2sqrt(5)

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simplify (sqrt(40))/(sqrt(2))

simplify

\frac{40}{2}

25

Solution steps

\frac{40}{2}

Apply radical rule:

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

\frac{40}{2} = \frac{40}{2}

= \frac{40}{2}

Divide the numbers:

\frac{40}{2} = 20

= 20

Prime factorization of

20 : 2^{2} \cdot 5

= 2^{2} \cdot 5

Apply radical rule:

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

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

= 2^{2} 5

Apply radical rule:

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

2^{2} = 2

= 25

27 \cdot 8

\frac{x ^{2} - 4}{4 x ^{2} - 8 x}

2 x (2 x + 1)

(a^{- 1} \cdot a^{- 2})^{- 3}

lo g_{9} (6)