(i) Write the product in exponential form and simplify the result, where . (ii)…

MATHEMATICS · Subjective · CBSE · Mathematics · Number Systems · Number Systems

Problem

(i) Write the product

\sqrt{a}\,\sqrt{a}

in exponential form and simplify the result, where

a>0

. (ii) Explain why the simplified result obtained in part (i) is always a rational number when

a

is a positive integer. (iii) Using the idea in part (i), verify that

\sqrt{2}\,\sqrt{8}=4