What is 4/(sqrt(6)-\sqrt{2)} ?

The solution to 4/(sqrt(6)-\sqrt{2)} is sqrt(6)+sqrt(2)

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simplify 4/(sqrt(6)-\sqrt{2)}

simplify

\frac{4}{6 - 2}

6 + 2

Decimal Notation

3.86370 \dots

Solution steps

\frac{4}{6 - 2}

Multiply by the conjugate

\frac{6 + 2}{6 + 2}

= \frac{4 ( 6 + 2 )}{( 6 - 2 ) ( 6 + 2 )}

Expand

4 (6 + 2) : 46 + 42

Expand

(6 - 2) (6 + 2) : 4

= \frac{4 6 + 4 2}{4}

Factor out common term

4

= \frac{4 ( 6 + 2 )}{4}

Cancel the common factor:

4

= 6 + 2

3 x (x - 3)

3 x (x + 5)

(x - 2 a)^{3}

3 y^{n} + 3 y^{2 n} + 5 y^{8 n}

1 0^{l o g_{10} (100)}

What is 4/(sqrt(6)-\sqrt{2)} ?
The solution to 4/(sqrt(6)-\sqrt{2)} is sqrt(6)+sqrt(2)