Question

If √2=1.414, then the value of√6-√3 upto three places of decimal is

Answer 1

Answer:

0.718

Step-by-step explanation:

Check the image below.

You must know how to find the roots of numbers.

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Answer 2

TO FIND

the value of  $\sqrt{6}-\sqrt{3}$

GIVEN

$\sqrt{2}$=1.414

SOLUTION

$(\sqrt{6}-\sqrt{3}) ^{2}$  = 6+3-2$\sqrt{6}\sqrt{3}$

$(\sqrt{6}-\sqrt{3}) ^{2}$  = 9-2$\sqrt{18}$

$(\sqrt{6}-\sqrt{3}) ^{2}$  = 9-6$\sqrt{2}$

$(\sqrt{6}-\sqrt{3}) ^{2}$  = 9-6*1.414

$(\sqrt{6}-\sqrt{3}) ^{2}$  = 9-8.484

$(\sqrt{6}-\sqrt{3}) ^{2}$  = 0.516

$\sqrt{6}-\sqrt{3}$     = $\sqrt{0.516}$

$\sqrt{6}-\sqrt{3}$     = 0.718

ANSWER

the value of $\sqrt{6}-\sqrt{3}$ = 0.718