How do you simplify #sqrt(100/3)#?

1 Answer
Jim G.
Apr 11, 2018

#(10sqrt3)/3#

Explanation:

#"using the "color(blue)"law of radicals"#

#•color(white)(x)sqrt(a/b)hArrsqrta/sqrtb#

#•color(white)(x)sqrtaxxsqrta=a#

#rArrsqrt(100/3)=sqrt100/sqrt3=10/sqrt3#

#color(blue)"rationalise the denominator"#

#"multiply numerator/denominator by "sqrt3#

#rArr(10xxsqrt3)/(sqrt3xxsqrt3)=(10sqrt3)/3#

#rArrsqrt(100/3)=(10sqrt3)/3larrcolor(blue)"in simplified form"#

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