Question

Simplify: √(√21 -2√7)^2 WILL AWARD BRAINLIEST TO THE CORRECT ANSWER!!

Answer 1

Answer:

Solving the expression: $\sqrt{(\sqrt{21}-2\sqrt{7} )^2}$ we get $\sqrt{21}-2\sqrt{7}$

Step-by-step explanation:

We need to solve the expression: $\sqrt{(\sqrt{21}-2\sqrt{7} )^2}$

We know that $\sqrt{x} = x^{\frac{1}{2}}$

Solving:

$\sqrt{(\sqrt{21}-2\sqrt{7} )^2}\\=((\sqrt{21}-2\sqrt{7} )^2)^\frac{1}{2}$

We know that $(a^2)^\frac{1}{2}=a$

= $\sqrt{21}-2\sqrt{7}$

So, solving the expression: $\sqrt{(\sqrt{21}-2\sqrt{7} )^2}$ we get $\sqrt{21}-2\sqrt{7}$