Question

If root 2=1.414 and root 3=1.732 then find the value of root 6-1 divided by root3 up to three places of decimal

Answer 1

√2=1.414
√3=1.732
√6-1=(√2.√3)-1
=2.449-1
=1.449
√6-1/√3=1.449/1.732=0.865

Hope this answer will help you.

Answer 2

Answer:

The value of $\frac { \sqrt { 6 } - 1 } { \sqrt { 3 } }$ up to 3 places of decimal point will be 0.837.

To find:

The value of the given expression $\frac { \sqrt { 6 } - 1 } { \sqrt { 3 } }$ up to three places of decimal point.

Solution:

Given that the value of $\sqrt2$ and $\sqrt3$ will be

$\sqrt { 2 } = 1.414$

and

$\sqrt { 3 } = 1.732$

Thus the value of

$\begin{array} { l } { \frac { \sqrt { 6 } - 1 } { \sqrt { 3 } } = \frac { \sqrt { 2 } \times \sqrt { 3 } - 1 } { \sqrt { 3 } } } \\\\ { = \frac { 1.414 \times 1.732 - 1 } { 1.732 } } \\\\ { = \frac { 2.449048 - 1 } { 1.732 } } \\\\ { = \frac { 1.443048 } { 1.732 } } \\\\ { = 0.8366 } \end{array}$

$\begin{array} { c } { \frac { \sqrt { 6 } - 1 } { \sqrt { 3 } } = 0.8366 } \\\\ { \frac { \sqrt { 6 } - 1 } { \sqrt { 3 } } = 0.8366 \approx 0.837 } \end{array}$

Thus the value of $\frac { \sqrt { 6 } - 1 } { \sqrt { 3 } }$ up to 3 places of decimal will be 0.837.