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Popular >

simplify 5/(1+sqrt(2))

Solution

simplify

\frac{5}{1 + 2}

Solution

- 5 + 52

+1

Decimal Notation

2.07106 \dots

Solution steps

\frac{5}{1 + 2}

Multiply by the conjugate

\frac{1 - 2}{1 - 2}

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

Expand

5 (1 - 2) : 5 - 52

Expand

(1 + 2) (1 - 2) : - 1

= \frac{5 - 5 2}{- 1}

\frac{5 - 5 2}{- 1} = - 5 + 52

= - 5 + 52

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Frequently Asked Questions (FAQ)

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