How do you simplify (4+3sqrt2)/(-3-sqrt5)4+3√2−3−√5?

1 Answer
sankarankalyanam
Jul 2, 2018

=> -3 + ( -9sqrt2 + 4sqrt5 + 3sqrt10)/4⇒−3+−9√2+4√5+3√104

Explanation:

(4 + 3Sqrt2) / (-3 - sqrt5)4+3Sqrt2−3−√5

"Multiply and divide by the conjugate "(-3 + sqrt5) " of the denominator."Multiply and divide by the conjugate (−3+√5) of the denominator.

=> ((4 + 3sqrt2 ) ( -3 + sqrt5)) / ((-3-sqrt5)(-3 + sqrt5))⇒(4+3√2)(−3+√5)(−3−√5)(−3+√5)

=> (-12 -9sqrt2 + 4sqrt5 + 3sqrt10) / (9 - 5)⇒−12−9√2+4√5+3√109−5

=> (-12 -9sqrt2 + 4sqrt5 + 3sqrt10)/4⇒−12−9√2+4√5+3√104

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