Find the exact numerical value of the expression .

MATHEMATICS · Multi-part · CBSE · Mathematics · A Square and A Cube · A Square and A Cube

Problem

Find the exact numerical value of the expression

C=\frac{2^{3/2}\cdot5^{1/2}}{10^{1/2}}

. (i) Convert each factor of

C=\frac{2^{3/2}\cdot5^{1/2}}{10^{1/2}}

into radical form. (ii) Simplify and give the answer as an integer.