Question

simplify √3 plus 2√2​

Answer 1

Answer:4.56

Step-by-step explanation:

=√3+2√2​

=(1.732)+2(1.414)

=4.56

Answer 2

Explanation:

$\mathsf{\sqrt{3+2\sqrt2}}$

$\mathsf{=\sqrt{2+2\sqrt{2}+1}}$

$\mathsf{=\sqrt{(\sqrt2)^2+2\times\sqrt2\times1+(\sqrt1)^2}}$

$\mathsf{=\sqrt{(\sqrt2+1)^2}}$ [∵ $\mathsf{a^2+2ab+b^2=(a+b)^2}$]

$\mathsf{=\sqrt2+1}$

Answer: √2 + 1

I hope this helps. :D