What is sqrt(2)(3+sqrt(8)) ?

The solution to sqrt(2)(3+sqrt(8)) is 3sqrt(2)+4

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simplify sqrt(2)(3+sqrt(8))

simplify

2 (3 + 8)

32 + 4

Decimal Notation

8.24264 \dots

Solution steps

2 (3 + 8)

8 = 22

= 2 (3 + 22)

Apply the distributive law:

a (b + c) = ab + a c

2 (3 + 22) = 2 \cdot 3 + 2 \cdot 22

= 2 \cdot 3 + 2 \cdot 22

2 \cdot 3 = 32

2 \cdot 22 = 4

= 32 + 4

0 (- x)

\frac{2 - ( 18 - 3 x )}{( 18 - 3 x ) + 1}

\frac{3 + ( - 1 )}{2}

\frac{108}{27}