Question

Find the value of root 10 - root 5 / 2 root 2 take root 2 = 1.414 , root 3= 1.732, root 5= 2.236

Answer 1

(5/2)root2 = (5/2)x1.414 = 3.535 

Subtract these two answers and you get -0.373

Answer 2

Answer:

0.32733

Step-by-step explanation:

Given : $\frac{\sqrt{10}-\sqrt{5}}{2\sqrt{2}}$

To Find :The value of $\frac{\sqrt{10}-\sqrt{5}}{2\sqrt{2}}$

Solution:

$\frac{\sqrt{10}-\sqrt{5}}{2\sqrt{2}}$

$\frac{\sqrt{5} \sqrt{2}-\sqrt{5}}{2\sqrt{2}}$  --A

The value of $\sqrt{2}=1.414$

The value of $\sqrt{3}=1.732$

The value of $\sqrt{5}=2.236$

Substitute the value in A

$\frac{2.236 \times 1.414-2.236}{2(1.414)}$

$0.32733$

Hence the value of $\frac{\sqrt{10}-\sqrt{5}}{2\sqrt{2}}$ is 0.32733