Question

If, sqrt of 2 = 1.414, then the value of sqrt of 6 - sqrt of 3 upto three places of decimal is
(a) 0.235
(b) 0.707
(C) 1.414
(d) 0.471​

Answer 1

Answer:

Answer:

0.718

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

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Answer 2

0.235If, sqrt of 2 = 1.414, then the value of sqrt of 6 - sqrt of 3 upto three places of decimal is

(a) 0.235

(b) 0.707

(C) 1.414

(d) 0.471