What is 3/(sqrt(6)-\sqrt{3)} ?

The solution to 3/(sqrt(6)-\sqrt{3)} is sqrt(6)+sqrt(3)

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simplify 3/(sqrt(6)-\sqrt{3)}

simplify

\frac{3}{6 - 3}

6 + 3

Decimal

4.18154 \dots

Solution steps

\frac{3}{6 - 3}

Multiply by the conjugate

\frac{6 + 3}{6 + 3}

= \frac{3 ( 6 + 3 )}{( 6 - 3 ) ( 6 + 3 )}

Expand

3 (6 + 3) : 36 + 33

Expand

(6 - 3) (6 + 3) : 3

= \frac{3 6 + 3 3}{3}

Factor out common term

3

= \frac{3 ( 6 + 3 )}{3}

Cancel the common factor:

3

= 6 + 3

7 (x + 1) - 2 x

\frac{( m ^{4} - n ^{4} )}{( m + n )}

2 7^{3}

2 \frac{4}{3}

\frac{32}{2 3}

What is 3/(sqrt(6)-\sqrt{3)} ?
The solution to 3/(sqrt(6)-\sqrt{3)} is sqrt(6)+sqrt(3)