What is (the square root of 7)- 5/(the square root of 2) + 5?

1 Answer
sankarankalyanam
Jun 20, 2018

=> -(26 + sqrt14 - 5sqrt2 - 5sqrt7 )/23

Explanation:

(sqrt7 - 5) / (sqrt2 + 5)

=> ((sqrt7 - 5)(sqrt2 - 5)) / ((sqrt2 + 5) (sqrt2 - 5))

=> (sqrt14 - 5sqrt2 - 5sqrt7 + 25) / (2 - 25)

=> -(26 + sqrt14 - 5sqrt2 - 5sqrt7 )/23

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