What is (sqrt(4))(9sqrt(18)) ?

The solution to (sqrt(4))(9sqrt(18)) is 54sqrt(2)

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simplify (sqrt(4))(9sqrt(18))

simplify

(4) (918)

542

Decimal Notation

76.36753 \dots

Solution steps

(4) (918)

Apply rule:

(a) = a

(4) = 4

= 4 \cdot 918

4 = 2

= 2 \cdot 918

Prime factorization of

18 : 2 \cdot 3^{2}

= 2 \cdot 9 2 \cdot 3^{2}

Apply radical rule:

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

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

= 2 \cdot 92 3^{2}

Apply radical rule:

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

3^{2} = 3

= 2 \cdot 92 \cdot 3

Multiply the numbers:

2 \cdot 9 \cdot 3 = 54

= 542

\frac{1}{3} (2 X + 8) + \frac{4 X - 8}{6} = - X + \frac{7}{2}

100 x^{2} - 16 = 0

2 x (x - 3) = 4 + x

3 x^{2} - 11 x = 4

3 x^{2} - 11 x + 10 = 0

What is (sqrt(4))(9sqrt(18)) ?
The solution to (sqrt(4))(9sqrt(18)) is 54sqrt(2)