What is 4/(sqrt(7)+\sqrt{3)} ?

The solution to 4/(sqrt(7)+\sqrt{3)} is sqrt(7)-sqrt(3)

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simplify 4/(sqrt(7)+\sqrt{3)}

simplify

\frac{4}{7 + 3}

7 - 3

Decimal Notation

0.91370 \dots

Solution steps

\frac{4}{7 + 3}

Multiply by the conjugate

\frac{7 - 3}{7 - 3}

= \frac{4 ( 7 - 3 )}{( 7 + 3 ) ( 7 - 3 )}

Expand

4 (7 - 3) : 47 - 43

Expand

(7 + 3) (7 - 3) : 4

= \frac{4 7 - 4 3}{4}

Factor out common term

4

= \frac{4 ( 7 - 3 )}{4}

Cancel the common factor:

4

= 7 - 3

9 \times 15

8 \times (- 4)

- 9 + (- 7)

\frac{x}{x - 4} - \frac{3}{x + 6}

(x - 5) (x + 9)

What is 4/(sqrt(7)+\sqrt{3)} ?
The solution to 4/(sqrt(7)+\sqrt{3)} is sqrt(7)-sqrt(3)