What is 3/(sqrt(2)+\sqrt{3)} ?

The solution to 3/(sqrt(2)+\sqrt{3)} is -3sqrt(2)+3sqrt(3)

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Popular >

simplify 3/(sqrt(2)+\sqrt{3)}

simplify

\frac{3}{2 + 3}

- 32 + 33

Decimal Notation

0.95351 \dots

Solution steps

\frac{3}{2 + 3}

Multiply by the conjugate

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

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

Expand

3 (2 - 3) : 32 - 33

Expand

(2 + 3) (2 - 3) : - 1

= \frac{3 2 - 3 3}{- 1}

\frac{3 2 - 3 3}{- 1} = - 32 + 33

= - 32 + 33

\frac{56}{72}

11 2^{2}

123

- 3 + (- 10)

- (5.7 u + 9)

What is 3/(sqrt(2)+\sqrt{3)} ?
The solution to 3/(sqrt(2)+\sqrt{3)} is -3sqrt(2)+3sqrt(3)