Question

The value of $7^{\frac{1}{2}}.8^{\frac{1}{2}}$ is :

• A. ${28}^{\frac{1}{2}}$
• B. ${56}^{\frac{1}{2}}$
• C. ${14}^{\frac{1}{2}}$
• D. ${42}^{\frac{1}{2}}$

Answer 1

Answer: (B)

${56}^{\frac{1}{2}}$

$\Rightarrow$ $(7{)}^{\frac{1}{2}}.(8{)}^{\frac{1}{2}}$

$\Rightarrow$ $(7\times 8{)}^{\frac{1}{2}}$ $[\because m^x.n^x=(m\times n{)}^x]$

$\Rightarrow$ ${56}^{\frac{1}{2}}$