Question

rationalization √5/2√3​

Answer 1

The denominator 2 √3 is a monomial surd.

Rationalising means to convert a surd (= an irrational number) into a rational number by multiplication with a suitable surd to convert the former into a rational number.

In the present case if we multiply the numerator and denominator of the given expression by √3 we get (√5)(√3)/2√3(√3) = √15/2(3) = √15/6.

Now the denominator has become rational.

Answer 2

√5÷2√3

√5×√3/2√3×√3

√15/2√6

√15/2×3

√15/6