Question

If root 2 = 1.414, then find the value of 1/1- root 2

Answer 1

1/1-√2=1-1.414= -0.414

Answer 2

Answer:

The value of $\frac {1}{(1-\sqrt 2)}=-2.415$

Solution:

Given,  

The value of $\frac {1}{1-\sqrt2}$

We know that the value of $\sqrt2$ is 1.414

By substituting the value of $\sqrt2$ in the given value, we get,

$\begin{aligned} \frac { 1 } { 1 - \sqrt { 2 } } & = \frac { 1 } { 1 - 1.414 } \\\\ & = \frac { 1 } { - 0.414 } \\\\ & = - 2.415 \end{aligned}$

The value of $\frac {1}{(1-\sqrt 2)}=-2.415$

For simpler calculation, we can take the round off value of -0.414 as -0.4

Hence, we get,

$\begin{array} { c } { \frac { 1 } { 1 - \sqrt { 2 } } = \frac { 1 } { - 0.414 } } \\\\ { = \frac { 1 } { - 0.4 } } \\\\ { = - \frac { 10 } { 4 } = - 2.5 } \end{array}$

There will be 0.1 variation in the above two values.

Hence, the correct value will be - 2.415.