Question

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

Answer 1

Answer:

The expression in simplified radical  form is:

$\sqrt{25}-2\sqrt{3}+\sqrt{27}+2\sqrt{9}=11+\sqrt{3}$

Step-by-step explanation:

Given the expression

$\sqrt{25\:}\:-2\sqrt{3}\:+\:\sqrt{27}\:+2\sqrt{9\:}\:$

as

• $\sqrt{25}=5$

• $\sqrt{27}=3\sqrt{3}$

• $2\sqrt{9}=6$

so the expression becomes

$=5-2\sqrt{3}+3\sqrt{3}+6$

$\mathrm{Add\:similar\:elements:}\:-2\sqrt{3}+3\sqrt{3}=\sqrt{3}$

$=5+\sqrt{3}+6$

$=11+\sqrt{3}$

Thus, the expression in simplified radical  form is:

$\sqrt{25}-2\sqrt{3}+\sqrt{27}+2\sqrt{9}=11+\sqrt{3}$