Chapter 0, Problem 56PG

To determine

To simplify the expression $\sqrt{36}.\sqrt{81}$

Answer to Problem 56PG

54 is the simplified expression

Explanation of Solution

Given information:

  $\sqrt{36}.\sqrt{81}$

Calculation:

Expression is $\sqrt{36}.\sqrt{81}$

Simplifying expression,

  $\sqrt{36}.\sqrt{81}=(\sqrt{6\times 6})(\sqrt{9\times }9)$

Pairing numbers,

  $\sqrt{36}.\sqrt{81}=(\sqrt{6^2})(\sqrt{9^2})$

Taking out squares,

  $\sqrt{36}.\sqrt{81}=(6)(9)$

Multiplying,

  $\sqrt{36}.\sqrt{81}=54$

Hence, 54 is the simplified expression