What is (5sqrt(120))/(6sqrt(40)) ?

The solution to (5sqrt(120))/(6sqrt(40)) is 5/(2sqrt(3))

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simplify (5sqrt(120))/(6sqrt(40))

simplify

\frac{5 120}{6 40}

\frac{5}{2 3}

Decimal Notation

1.44337 \dots

Solution steps

\frac{5 120}{6 40}

Factor

120 : 403

= \frac{5 40 3}{6 40}

Cancel the common factor:

40

= \frac{5 3}{6}

Factor the number:

6 = 3 \cdot 2

= \frac{5 3}{3 \cdot 2}

Apply radical rule:

a = a a

3 = 33

= \frac{5 3}{3 3 \cdot 2}

Cancel the common factor:

3

= \frac{5}{3 \cdot 2}

= \frac{5}{2 3}

20 - 9 x + 4 y + 7 - x

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

(3 - 2)^{2}

\frac{c - d}{\frac{1}{c} - \frac{1}{d}}

x^{3} + 6 x^{2} + 12 x + 7

What is (5sqrt(120))/(6sqrt(40)) ?
The solution to (5sqrt(120))/(6sqrt(40)) is 5/(2sqrt(3))