What is 1/2 (6sqrt(2))(48sqrt(2)) ?

The solution to 1/2 (6sqrt(2))(48sqrt(2)) is 288

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simplify 1/2 (6sqrt(2))(48sqrt(2))

simplify

\frac{1}{2} (62) (482)

288

Solution steps

\frac{1}{2} (62) (482)

Apply radical rule:

a a = a

22 = 2

= 6 \cdot 48 \cdot 2 \cdot \frac{1}{2}

Convert element to fraction:

6 = \frac{6}{1}

= 48 \cdot 2 \cdot \frac{1}{2} \cdot \frac{6}{1}

Convert element to fraction:

48 = \frac{48}{1}

= 2 \cdot \frac{1}{2} \cdot \frac{6}{1} \cdot \frac{48}{1}

Convert element to fraction:

2 = \frac{2}{1}

= \frac{1}{2} \cdot \frac{6}{1} \cdot \frac{2}{1} \cdot \frac{48}{1}

Multiply fractions:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

= \frac{1 \cdot 6 \cdot 48 \cdot 2}{2 \cdot 1 \cdot 1 \cdot 1}

Cancel the common factor:

1

= \frac{6 \cdot 48 \cdot 2}{2 \cdot 1 \cdot 1}

Cancel the common factor:

2

= \frac{6 \cdot 48}{1 \cdot 1}

Multiply the numbers:

6 \cdot 48 = 288

= \frac{288}{1 \cdot 1}

Multiply the numbers:

1 \cdot 1 = 1

= \frac{288}{1}

Apply rule

\frac{a}{1} = a

= 288

c \cdot e^{- x^{3}}

((cos (2 x))^{x^{3}})^{- 5^{^{'}}}

e \cdot (- 2) e^{- 2 x}

3 e^{2 t} \cdot 6 e^{2 t}

e^{- x} \cdot 3 e^{- x}

What is 1/2 (6sqrt(2))(48sqrt(2)) ?
The solution to 1/2 (6sqrt(2))(48sqrt(2)) is 288