What is (sqrt(72))/(sqrt(6)) ?

The solution to (sqrt(72))/(sqrt(6)) is 2sqrt(3)

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simplify (sqrt(72))/(sqrt(6))

simplify

\frac{72}{6}

23

Decimal Notation

3.46410 \dots

Solution steps

\frac{72}{6}

Apply radical rule:

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

\frac{72}{6} = \frac{72}{6}

= \frac{72}{6}

Divide the numbers:

\frac{72}{6} = 12

= 12

Prime factorization of

12 : 2^{2} \cdot 3

= 2^{2} \cdot 3

Apply radical rule:

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

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

= 2^{2} 3

Apply radical rule:

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

2^{2} = 2

= 23

\frac{x}{4} + 1 = 7

0.3 x^{2} + 1.4 x = 0

5.23 x^{2} - 4.1 x + 5.7 = 0

(\frac{1}{2} \cdot \frac{5}{2})^{2}