What is 8/(3-sqrt(7))-6/(2sqrt(7)-5) ?

The solution to 8/(3-sqrt(7))-6/(2sqrt(7)-5) is 2

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simplify 8/(3-sqrt(7))-6/(2sqrt(7)-5)

simplify

\frac{8}{3 - 7} - \frac{6}{2 7 - 5}

2

Solution steps

\frac{8}{3 - 7} - \frac{6}{2 7 - 5}

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

\frac{6}{2 7 - 5} = 2 (27 + 5)

= 4 (3 + 7) - 2 (27 + 5)

Expand

4 (3 + 7) : 12 + 47

= 12 + 47 - 2 (27 + 5)

Expand

- 2 (27 + 5) : - 47 - 10

= 12 + 47 - 47 - 10

Add similar elements:

47 - 47 = 0

= 12 - 10

Subtract the numbers:

12 - 10 = 2

= 2

∣ y ∣ + 3 = 1

2 x^{2} - 1 = 0

- 2 (y + 2) + 7 = 3 (y + 6)

\frac{- 1 + ( - 1 ) ^{6} + 2 π ( - 1 ) ^{6}}{π ( 6 ) ^{2}}

4 r^{2} + 3 r - 7

What is 8/(3-sqrt(7))-6/(2sqrt(7)-5) ?
The solution to 8/(3-sqrt(7))-6/(2sqrt(7)-5) is 2