What is (6+sqrt(32))/2 ?

The solution to (6+sqrt(32))/2 is 3+2sqrt(2)

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simplify (6+sqrt(32))/2

simplify

\frac{6 + 32}{2}

3 + 22

Decimal Notation

5.82842 \dots

Solution steps

\frac{6 + 32}{2}

32 = 42

= \frac{6 + 4 2}{2}

Factor out common term

2 : 2 (3 + 22)

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

Cancel the common factor:

2

= 3 + 22

- \frac{1}{( 0 + 1 ) ^{2}}

(2 - \frac{2}{3} x)^{2}

sin (3 t) cos (3 t)

\frac{9}{60}

x^{- 3} \times x^{2}