What is (3sqrt(7))/(sqrt(7)-3)-(5sqrt(7))/(sqrt(7)+3) ?

The solution to (3sqrt(7))/(sqrt(7)-3)-(5sqrt(7))/(sqrt(7)+3) is 7-12sqrt(7)

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simplify (3sqrt(7))/(sqrt(7)-3)-(5sqrt(7))/(sqrt(7)+3)

simplify

\frac{3 7}{7 - 3} - \frac{5 7}{7 + 3}

7 - 127

Decimal Notation

- 24.74901 \dots

Solution steps

\frac{3 7}{7 - 3} - \frac{5 7}{7 + 3}

Cancel

\frac{3 7}{7 - 3} : - \frac{21 + 9 7}{2}

= - \frac{21 + 9 7}{2} - \frac{5 7}{7 + 3}

Cancel

\frac{5 7}{7 + 3} : - \frac{35 - 15 7}{2}

= - \frac{21 + 9 7}{2} - (- \frac{35 - 15 7}{2})

Apply rule:

- (- a) = a

- (- \frac{35 - 15 7}{2}) = \frac{35 - 15 7}{2}

= - \frac{21 + 9 7}{2} + \frac{35 - 15 7}{2}

Apply the fraction rule:

\frac{a}{c} + \frac{b}{c} = \frac{a + b}{c}

= \frac{- ( 21 + 9 7 ) + 35 - 15 7}{2}

Simplify

- (21 + 97) + 35 - 157 : 14 - 247

= \frac{14 - 24 7}{2}

Cancel

\frac{14 - 24 7}{2} : 7 - 127

= 7 - 127

(2 n + 3) (2 n + 1)

\frac{6 x ^{2} + 12 x}{2 x ^{3}}

\frac{x ^{2} - 5 x + 4}{x ^{2} - 4 x}

\frac{12 ab}{a ^{2} b ^{2}}

What is (3sqrt(7))/(sqrt(7)-3)-(5sqrt(7))/(sqrt(7)+3) ?
The solution to (3sqrt(7))/(sqrt(7)-3)-(5sqrt(7))/(sqrt(7)+3) is 7-12sqrt(7)