What is (sqrt(216)-sqrt(7))/(sqrt(42)-6) ?

The solution to (sqrt(216)-sqrt(7))/(sqrt(42)-6) is (30sqrt(7)+29sqrt(6))/6

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simplify (sqrt(216)-sqrt(7))/(sqrt(42)-6)

simplify

\frac{216 - 7}{42 - 6}

\frac{30 7 + 29 6}{6}

Decimal Notation

25.06795 \dots

Solution steps

\frac{216 - 7}{42 - 6}

216 = 66

= \frac{6 6 - 7}{42 - 6}

Multiply by the conjugate

\frac{42 + 6}{42 + 6}

= \frac{( 6 6 - 7 ) ( 42 + 6 )}{( 42 - 6 ) ( 42 + 6 )}

Expand

(66 - 7) (42 + 6) : 307 + 296

Expand

(42 - 6) (42 + 6) : 6

= \frac{30 7 + 29 6}{6}

2 - (- 3)

- 10 x - 2 \leq 98 and 5 x - 3 < - 28

x - x^{2} + 6

7 x = 91

12 x^{2} - 3 x^{2} + 9 x^{3}

What is (sqrt(216)-sqrt(7))/(sqrt(42)-6) ?
The solution to (sqrt(216)-sqrt(7))/(sqrt(42)-6) is (30sqrt(7)+29sqrt(6))/6