Please solve q 40?

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1 Answer
MattyMatty
Feb 19, 2018

#(2)" " 2^(1/4) (sqrt(2)+sqrt(3))#

Explanation:

#x^2 = sqrt(48) + sqrt(50)#
#=> x^2 = 4 sqrt(3) + 5 sqrt(2)#
#=> x^2 = (4 sqrt(6) + 10)/sqrt(2)#
#=> x^2 = (2 + sqrt(6))^2/sqrt(2)#
#=> x = (2 + sqrt(6))/2^(1/4)#
#=> x = 2^(1/4) (sqrt(2) + sqrt(3))#

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