Chapter 9, Problem 7CR

To determine

To simplify the given expression

Answer to Problem 7CR

  $88+30\sqrt{7}$

Explanation of Solution

Given information:

  ${(3\sqrt{7}+5)}^2$

Calculation:

Opening the brackets, using ${(a+b)}^2=a^2+b^2+2ab$

  ${(3\sqrt{7})}^2+{(5)}^2+(2\times 3\sqrt{7}\times 5)$

Opening the brackets,

  $63+25+30\sqrt{7}$

On solving,

  $88+30\sqrt{7}$

Hence, simplified.