Question

Simplify the given equation in the attached picture:\sqrt{29-\sqrt{5}}

Answer 1

Answer: 2√5 - 3

Step-by-step explanation:

$Simplify the following: \sqrt{29-12 \sqrt{5}} \begin{aligned}&29-12 \sqrt{5}=9-12 \sqrt{5}+20=9-12 \sqrt{5}+4(\sqrt{5})^{2}=(2 \sqrt{5}-3)^{2}: \\&\sqrt{\left((2 \sqrt{5}-3)^{2}\right)}\end{aligned} Cancel exponents. \sqrt{(2 \sqrt{5}-3)^{2}}=2 \sqrt{5}-3 :\\Answer: 2 \sqrt{5}-3$