Chapter 0, Problem 54PG

To determine

To simplify expression $\sqrt{80}$

Answer to Problem 54PG

Simplified expression is $4\sqrt{5}$ .

Explanation of Solution

Given information:

Expression: $\sqrt{80}$

Calculation:

Simplifying equation,

  $\sqrt{80}=\sqrt{2\times 2\times 2\times 2\times 5}$

Now,

  $\sqrt{80}=\sqrt{{(2)}^2\times {(2)}^2\times 5}$

Taking out squares,

  $\sqrt{80}=2\times 2\sqrt{5}$

Hence, simplified expression is $4\sqrt{5}$ .