What is (sqrt(40))/(sqrt(5)) ?

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

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simplify (sqrt(40))/(sqrt(5))

simplify

\frac{40}{5}

22

Solution steps

\frac{40}{5}

Apply radical rule:

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

\frac{40}{5} = \frac{40}{5}

= \frac{40}{5}

Divide the numbers:

\frac{40}{5} = 8

= 8

Prime factorization of

8 : 2^{3}

= 2^{3}

Apply exponent rule:

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

2^{3} = 2^{2} \cdot 2

= 2^{2} \cdot 2

Apply radical rule:

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

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

= 2^{2} 2

Apply radical rule:

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

2^{2} = 2

= 22

2 x^{2} - 6 x + 8 = 0

\frac{( x - 8 )}{25} + \frac{( x - 17 )}{140} + \frac{x}{10} = 0

e^{2 \cdot l n (2)}

2 (x + 3) = 1

(x - 2) (x - 3) = 0