What is (4sqrt(7))/(3+sqrt(7)) ?

The solution to (4sqrt(7))/(3+sqrt(7)) is 6sqrt(7)-14

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simplify (4sqrt(7))/(3+sqrt(7))

simplify

\frac{4 7}{3 + 7}

67 - 14

Decimal Notation

1.87450 \dots

Solution steps

\frac{4 7}{3 + 7}

Multiply by the conjugate

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

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

Expand

4 (3 - 7) : 12 - 47

Expand

(3 + 7) (3 - 7) : 2

= \frac{( 12 - 4 7 ) 7}{2}

Factor out common term

4 : 4 (3 - 7)

= \frac{4 ( 3 - 7 ) 7}{2}

Divide the numbers:

\frac{4}{2} = 2

= 2 (3 - 7) 7

2 (3 - 7) 7 = 67 - 14

= 67 - 14

\frac{3}{5} \div \frac{1}{15}

- 6 x^{3} - 9 x

x - 1 \cdot x + 1

x^{2} + 2 x h + h^{2}

13.5

What is (4sqrt(7))/(3+sqrt(7)) ?
The solution to (4sqrt(7))/(3+sqrt(7)) is 6sqrt(7)-14