Answer:
Step-by-step explanation:
I'm not sure how to solve the first one, but I'll try to simplify sqrt3-1/sqrt3+1. I simplified it and I got 2-sqrt3. Does that help?
For question 2, I got -0.251.
Answer:
1) [tex]\frac{\sqrt{3}-1 }{\sqrt{3}+1}=\frac{(\sqrt{3}-1)^{2} }{(\sqrt{3}+1)(\sqrt{3}-1) }=\frac{4-2\sqrt{3} }{3-1}=\frac{4-2\sqrt{3} }{2}=2-\sqrt{3}[/tex]
but [tex]\frac{\sqrt{3}-1 }{\sqrt{3}+1 }=a+b\sqrt{3}[/tex]
=> a = 2
b = -1
2) [tex]\frac{\sqrt{10}-\sqrt{15} }{2\sqrt{2} }=\frac{\sqrt{20}-\sqrt{30} }{4}=\frac{2\sqrt{5}-\sqrt{30} }{4}=-0.251[/tex]
Step-by-step explanation:
