What is sqrt(2)((3sqrt(3))/2+sqrt(3)) ?

The solution to sqrt(2)((3sqrt(3))/2+sqrt(3)) is (5sqrt(3))/2 sqrt(2)

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simplify sqrt(2)((3sqrt(3))/2+sqrt(3))

simplify

2 (\frac{3 3}{2} + 3)

\frac{5 3}{2} 2

Decimal Notation

6.12372 \dots

Solution steps

2 (\frac{3 3}{2} + 3)

Apply the fraction rule:

a = \frac{ab}{b}

= 2 (\frac{3 3}{2} + \frac{3 \cdot 2}{2})

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

= 2 \frac{5 3}{2}

= \frac{5 3}{2} 2

(3 x^{2} y^{4} + 2 x y) d x + (2 x^{3} y^{3} - x^{2}) d y

(3 x^{2}) y

(2 A x + B) e^{3 x} + e^{3 x} \cdot 3 (A x^{2} + B x)

(x - 4 - 2) (x + 4 + 2)

\frac{x ( ln ( x ) ) ^{2}}{( x + 1 ) ( ln ( x + 1 ) ) ^{2}}

What is sqrt(2)((3sqrt(3))/2+sqrt(3)) ?
The solution to sqrt(2)((3sqrt(3))/2+sqrt(3)) is (5sqrt(3))/2 sqrt(2)