Question

Simplify the given equation in the attached picture:

\sqrt{29-\sqrt{5}}

Answer 1

Answer: 2√5 - 3

Explanation:

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