What is (8sqrt(21))/(sqrt(3)-\sqrt{7)} ?

The solution to (8sqrt(21))/(sqrt(3)-\sqrt{7)} is -6sqrt(7)-14sqrt(3)

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simplify (8sqrt(21))/(sqrt(3)-\sqrt{7)}

simplify

\frac{8 21}{3 - 7}

- 67 - 143

Decimal Notation

- 40.12321 \dots

Solution steps

\frac{8 21}{3 - 7}

Multiply by the conjugate

\frac{3 + 7}{3 + 7}

= \frac{8 ( 3 + 7 ) 21}{( 3 - 7 ) ( 3 + 7 )}

Expand

8 (3 + 7) : 83 + 87

Expand

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

= \frac{( 8 3 + 8 7 ) 21}{- 4}

Factor out common term

8

= \frac{8 ( 3 + 7 ) 21}{- 4}

Divide the numbers:

\frac{8}{- 4} = - 2

= - 2 (3 + 7) 21

- 2 (3 + 7) 21 = - 67 - 143

= - 67 - 143

- 2 \times - 8

- 5 \times (- 1)

\frac{4}{12}

19 \times 2

3 p^{2} (p^{2} - 7)

What is (8sqrt(21))/(sqrt(3)-\sqrt{7)} ?
The solution to (8sqrt(21))/(sqrt(3)-\sqrt{7)} is -6sqrt(7)-14sqrt(3)