Question

2. The distance between the points P(√5+1, √3-1) and Q(√5-2, (√3+2) is​

Answer 1

Answer:

PQ = $\sqrt{10}$

Step-by-step explanation:

We have -

P ≡ ($\sqrt{5}+1, \sqrt{3}-1$)

Q ≡ ($\sqrt{5}-2, \sqrt{3}+2$

Distance between two points A≡(a,b) and B≡(c,d) is given by

AB = $\sqrt{(a-c)^{2}} + \sqrt{(b-d)^{2}}$

So, PQ = $\sqrt{(\sqrt{5}+1-\sqrt{5}+2)^{2}} + [tex]\sqrt{(\sqrt{3}-1-\sqrt{3}+2)^{2}}$

PQ = $\sqrt{3^{2} + 1^{2}}$

     = $\sqrt{9+1}$

PQ = $\sqrt{10}$