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Popular >

simplify 1/(2+sqrt(3))

Solution

simplify

\frac{1}{2 + 3}

Solution

2 - 3

+1

Decimal Notation

0.26794 \dots

Solution steps

\frac{1}{2 + 3}

Multiply by the conjugate

\frac{2 - 3}{2 - 3}

= \frac{1 \cdot ( 2 - 3 )}{( 2 + 3 ) ( 2 - 3 )}

1 \cdot (2 - 3) = 2 - 3

(2 + 3) (2 - 3) = 1

= \frac{2 - 3}{1}

Apply rule

\frac{a}{1} = a

= 2 - 3

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Frequently Asked Questions (FAQ)

What is 1/(2+sqrt(3)) ?
The solution to 1/(2+sqrt(3)) is 2-sqrt(3)