Question

√ 25 –2√3 + √27 +2√ 9 Express in simplified radical

Answer 1

The expression in simplified radical form is:

`√(25)-2√(3)+√(27)+2√(9)=11+√(3)`

Explanation:

Given the expression

`√(25\:)\:-2√(3)\:+\:√(27)\:+2√(9\:)\:`

as

• 
  `√(25)=5`

• 
  `√(27)=3√(3)`

• 
  `2√(9)=6`

so the expression becomes

`=5-2√(3)+3√(3)+6`

`\mathrm{Add\:similar\:elements:}\:-2√(3)+3√(3)=√(3)`

`=5+√(3)+6`

`=11+√(3)`

Thus, the expression in simplified radical form is:

`√(25)-2√(3)+√(27)+2√(9)=11+√(3)`