If -3-1-732-5-2-236- then the value of 6-5-3 is

The correct option is B 11.904 6 /√( 5 ) √( 3 ) nbsp; = 6.(√( 5 ) +√( 3 ) ) / (√( 5 ) √( 3 ) )(√( 5 ) +√( 3 ) ) = 6(√( 5 ) +√( 3 ) ) / 5 3 = 6(√( 5 ...

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Byju's Answer

Standard IX

Mathematics

Monomial and Binomial Surds

If √3=1.732...

Question

If $\sqrt{3} = 1.732, \sqrt{5} = 2.236$ , then the value of $\frac{6}{\sqrt{5} - \sqrt{3}}$ is

10.905

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11.904

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11.905

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Solution

The correct option is B 11.904
$\frac{6}{\sqrt{5} - \sqrt{3}} = \frac{6. (\sqrt{5} + \sqrt{3})}{(\sqrt{5} - \sqrt{3}) (\sqrt{5} + \sqrt{3})} = \frac{6 (\sqrt{5} + \sqrt{3})}{5 - 3} = \frac{6 (\sqrt{5} + \sqrt{3})}{2} = 3 (\sqrt{5} + \sqrt{3}) 3. (1.732 + 2.236) = 3. (3.968) = 11.904$

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Similar questions

Find the value of $\frac{6}{\sqrt{5} - \sqrt{3}}$ , it being given that $\sqrt{3} = 1.732 a n d \sqrt{5} = 2.236$ .

Q. If

\sqrt{5} = 2.236

and

\sqrt{3} = 1.732

, then the value of

\frac{2}{\sqrt{5} + \sqrt{3}} + \frac{7}{\sqrt{5} - \sqrt{3}}

Q. If

\sqrt{2} = 1.414, \sqrt{3} = 1.732, \sqrt{5} = 2.236

and

\sqrt{6} = 2.449,

find the value of

\frac{2 + \sqrt{3}}{2 - \sqrt{3}} + \frac{2 - \sqrt{3}}{2 + \sqrt{3}} + \frac{\sqrt{3} - 1}{\sqrt{3} + 1}

Q. If

\sqrt{2} = 1.414, \sqrt{3} = 1.732, \sqrt{5} = 2.236

and

\sqrt{6} = 2.449

, find the approximate value of

\frac{2 + \sqrt{3}}{2 - \sqrt{3}} + \frac{2 - \sqrt{3}}{2 + \sqrt{3}} + \frac{\sqrt{3} - 1}{\sqrt{3} + 1}

Q. Find the value of

\frac{6}{\sqrt{5} - \sqrt{3}}

, it being given that

\sqrt{3} = 1.732

and

\sqrt{5} = 2.236

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If √3=1.732,√5=2.236, then the value of 6√5−√3 is

The correct option is B 11.9046√5−√3=6.(√5+√3)(√5−√3)(√5+√3)=6(√5+√3)5−3=6(√5+√3)2=3(√5+√3)3.(1.732+2.236)=3.(3.968)=11.904

If $\sqrt{3} = 1.732, \sqrt{5} = 2.236$ , then the value of $\frac{6}{\sqrt{5} - \sqrt{3}}$ is

The correct option is B 11.904
$\frac{6}{\sqrt{5} - \sqrt{3}} = \frac{6. (\sqrt{5} + \sqrt{3})}{(\sqrt{5} - \sqrt{3}) (\sqrt{5} + \sqrt{3})} = \frac{6 (\sqrt{5} + \sqrt{3})}{5 - 3} = \frac{6 (\sqrt{5} + \sqrt{3})}{2} = 3 (\sqrt{5} + \sqrt{3}) 3. (1.732 + 2.236) = 3. (3.968) = 11.904$