What is 1/2+1/(sqrt(2)) ?

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

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simplify 1/2+1/(sqrt(2))

simplify

\frac{1}{2} + \frac{1}{2}

\frac{1 + 2}{2}

Decimal Notation

1.20710 \dots

Solution steps

\frac{1}{2} + \frac{1}{2}

Least Common Multiplier of

2, 2 : 22

Adjust Fractions based on the LCM

= \frac{2}{2 2} + \frac{2}{2 2}

Apply the fraction rule:

\frac{a}{c} + \frac{b}{c} = \frac{a + b}{c}

= \frac{2 + 2}{2 2}

Cancel

\frac{2 + 2}{2 2} : \frac{1 + 2}{2}

= \frac{1 + 2}{2}

- 1 \times + 1

- 1 \times 10

- 1 \times (- 6)

\frac{5}{3} \times \frac{5}{3}

16 + 20 + 9 + 320