Question

Answer 1

1)a)\(M=\sqrt{9}+\sqrt{25}-\sqrt{4}=3+5-2=6\)

b)\(N=\dfrac{1}{\sqrt{3}-2}+\sqrt{1-2\sqrt{3}+3}\\ N=\dfrac{1}{\sqrt{3}-2}+\sqrt{\left(\sqrt{3}\right)^2-2\sqrt{3}+1}\\ N=\dfrac{1}{\sqrt{3}-2}+\sqrt{\left(\sqrt{3}-1\right)^2}\\ N=\dfrac{1}{\sqrt{3}-2}+\dfrac{\left(\sqrt{3}-1\right)\left(\sqrt{3}-2\right)}{\sqrt{3}-2}\\ N=\dfrac{6-3\sqrt{3}}{\sqrt{3}-2}=\dfrac{-3\left(\sqrt{3}-2\right)}{\sqrt{3}-2}=-3\)