What is (12)/(sqrt(11)+\sqrt{3)} ?

The solution to (12)/(sqrt(11)+\sqrt{3)} is (3(sqrt(11)-sqrt(3)))/2

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simplify (12)/(sqrt(11)+\sqrt{3)}

simplify

\frac{12}{11 + 3}

\frac{3 ( 11 - 3 )}{2}

Decimal Notation

2.37686 \dots

Solution steps

\frac{12}{11 + 3}

Multiply by the conjugate

\frac{11 - 3}{11 - 3}

= \frac{12 ( 11 - 3 )}{( 11 + 3 ) ( 11 - 3 )}

Expand

12 (11 - 3) : 1211 - 123

Expand

(11 + 3) (11 - 3) : 8

= \frac{12 11 - 12 3}{8}

Factor out common term

12

= \frac{12 ( 11 - 3 )}{8}

Factor the number:

12 = 4 \cdot 3

= \frac{4 \cdot 3 ( 11 - 3 )}{8}

Factor the number:

8 = 4 \cdot 2

= \frac{4 \cdot 3 ( 11 - 3 )}{4 \cdot 2}

Cancel the common factor:

4

= \frac{3 ( 11 - 3 )}{2}

5 x^{5} - 44 x^{3} - 9 x

(x + 3) x^{4} + 4 x^{3} - 5

(6 - 10 x^{2} - 5 x^{3}) - (11 x^{3} + 14 x^{2} - 3 x^{5})

\frac{10 ab - 15 b ^{2}}{4 a ^{2} - 6 ab}

What is (12)/(sqrt(11)+\sqrt{3)} ?
The solution to (12)/(sqrt(11)+\sqrt{3)} is (3(sqrt(11)-sqrt(3)))/2