What is (2sqrt(18))/(sqrt(5)) ?

The solution to (2sqrt(18))/(sqrt(5)) is (6sqrt(2))/(sqrt(5))

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simplify (2sqrt(18))/(sqrt(5))

simplify

\frac{2 18}{5}

\frac{6 2}{5}

Solution steps

\frac{2 18}{5}

Prime factorization of

18 : 2 \cdot 3^{2}

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

Apply radical rule:

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

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

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

Apply radical rule:

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

3^{2} = 3

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

Multiply the numbers:

2 \cdot 3 = 6

= \frac{6 2}{5}

- [3 x - 2 y + (x - 2 y) - 2 (x + y) - 3 (2 x + 1)]

30 x^{2} - x - 20

\frac{95}{3}

x^{2} \cdot 6 x

6 x^{2} - 41 x + 30

What is (2sqrt(18))/(sqrt(5)) ?
The solution to (2sqrt(18))/(sqrt(5)) is (6sqrt(2))/(sqrt(5))