What is the square root of 90 - square root of 10?

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Answer 1 · 2015-09-08T12:16:20

Assuming we are dealing only with primary (positive) square roots:
#sqrt(90)-sqrt(10) = 2sqrt(10#

#sqrt(90)#
#color(white)("XX") = sqrt(3^2xx10)#

#color(white)("XX") = sqrt(3^2)*sqrt(10)#

#color(white)("XX") = 3sqrt(10)#

#sqrt(90) -sqrt(10)#

#color(white)("XX") = (3*sqrt(10))-(1*sqrt(10))#

#color(white)("XX") = 2*sqrt(10)#

If we accept both positive and negative values for the square roots, possible solutions include:
#4sqrt(10), -2sqrt(10), and -4sqrt(10)#