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Popular >

simplify 4/(1+sqrt(2))

Solution

simplify

\frac{4}{1 + 2}

Solution

- 4 + 42

+1

Decimal Notation

1.65685 \dots

Solution steps

\frac{4}{1 + 2}

Multiply by the conjugate

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

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

Expand

4 (1 - 2) : 4 - 42

Expand

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

= \frac{4 - 4 2}{- 1}

\frac{4 - 4 2}{- 1} = - 4 + 42

= - 4 + 42

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Frequently Asked Questions (FAQ)

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