What is (sqrt(24))/(sqrt(3)) ?

The solution to (sqrt(24))/(sqrt(3)) is 2sqrt(2)

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simplify (sqrt(24))/(sqrt(3))

simplify

\frac{24}{3}

22

Solution steps

\frac{24}{3}

Apply radical rule:

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

\frac{24}{3} = \frac{24}{3}

= \frac{24}{3}

Divide the numbers:

\frac{24}{3} = 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

- 16 t^{2} + 16 t + 480 = 0

x^{2} + 4 x - 2 = 0

(3 x^{2})^{- 1}

\frac{1}{3} + \frac{3}{4}

- 7 x > 35