What is (sqrt(48))/(sqrt(6)) ?

The solution to (sqrt(48))/(sqrt(6)) is 2sqrt(2)

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simplify (sqrt(48))/(sqrt(6))

simplify

\frac{48}{6}

22

Decimal Notation

2.82842 \dots

Solution steps

\frac{48}{6}

Apply radical rule:

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

\frac{48}{6} = \frac{48}{6}

= \frac{48}{6}

Divide the numbers:

\frac{48}{6} = 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

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

2 a^{2} + 5 ab + 2 b^{2}

\frac{8 - 112}{6}

121 - x^{4}

- 49 x^{2}