What is (4sqrt(5)+4)/(sqrt(2)) ?

The solution to (4sqrt(5)+4)/(sqrt(2)) is 2sqrt(2)(sqrt(5)+1)

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simplify (4sqrt(5)+4)/(sqrt(2))

simplify

\frac{4 5 + 4}{2}

22 (5 + 1)

Decimal Notation

9.15298 \dots

Solution steps

\frac{4 5 + 4}{2}

Factor out common term

4 : 4 (5 + 1)

= \frac{4 ( 5 + 1 )}{2}

Factor the number:

4 = 2 \cdot 2

= \frac{2 \cdot 2 ( 5 + 1 )}{2}

Apply radical rule:

a = a a

2 = 22

= \frac{2 2 \cdot 2 ( 5 + 1 )}{2}

Cancel the common factor:

2

= 2 \cdot 2 (5 + 1)

= 22 (5 + 1)

\frac{x - 6}{10} = 5

2 x^{2} - 25 x + 63

r^{2} - 6 r + 13 = 0

\frac{4}{9} x = 12

10 x^{2} - 15 x

What is (4sqrt(5)+4)/(sqrt(2)) ?
The solution to (4sqrt(5)+4)/(sqrt(2)) is 2sqrt(2)(sqrt(5)+1)