Chapter SH, Problem 7.10EP

To determine

To write in radical form

  ${\left(7k\right)}^{\frac{1}{2}}$ .

Answer to Problem 7.10EP

  $\sqrt[2]{7k}$

Explanation of Solution

Given information:

Expression

  ${\left(7k\right)}^{\frac{1}{2}}$

Calculation:

  $={\left(7k\right)}^{\frac{1}{2}}$

Using identity

  ${\left(a\right)}^{\frac{1}{2}}=\sqrt[2]{a}$

Then,

  ${\left(7k\right)}^{\frac{1}{2}}=\sqrt[2]{7k}$

Hence, radical form is $\sqrt[2]{7k}$ .