Question

Given root2=1.414
Find the value of (8-5root2)/(3-2root2)
Correct to 3 places of decimal

Answer 1

Step-by-step explanation:

$\frac{8 - 5 \sqrt{2} }{3 - \sqrt{2} } = \frac{8 - 5 \times 1.414}{3 - 1.414} = \frac{8 - 7.07}{1.586} \: \: \:= \frac{0.93}{1.586} \: \: = 0.586380$

If my answer helps you mark me as brain list, leave thanks and follow me.

Answer 2

Answer: 5.406

Given:

$\sf \sqrt{2}=1.414$

To find:

$\Large\text{ \sf\frac{8-5\sqrt{2} }{3-2\sqrt{2} } }$

Explanation:

$\sf\text{Substituting the value of\:}\sqrt{2} \sf\text{\:in the given equation,}$

$\Rightarrow\Large \sf\frac{8-5\times1.414 }{3-2\times1.414 }$

$\Rightarrow\Large \sf\frac{8-7.07 }{3-2.82 }$

$\Rightarrow\Large \sf\frac{0.93 }{0.172}$

$\Rightarrow\large \sf\ 5.406$