Question

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

Answer 1

`(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"`