Question

2
If V3 = 1.732 then the value of
is
V3​

Answer 1

Given \: \sqrt{3} = 1.732 \: and \:\sqrt{2} = 1.414Given

3

=1.732and

2

=1.414

Value \:of \: \sqrt{ \frac{(\sqrt{3} + 1 )}{( \sqrt{3} - 1) } }Valueof

(

3

−1)

(

3

+1)

= \sqrt{ \frac{(\sqrt{3} + 1 )(\sqrt{3} + 1)}{( \sqrt{3} - 1) (\sqrt{3} + 1)} }=

(

3

−1)(

3

+1)

(

3

+1)(

3

+1)

= \sqrt{ \frac{(\sqrt{3} + 1 )^{2}}{( \sqrt{3} )^{2}- 1^{2}} }=

(

3

)

2

−1

2

(

3

+1)

2

\begin{gathered}= \sqrt{\frac{(\sqrt{3} + 1) }{3-1}} \\= \frac{(\sqrt{3} + 1) }{\sqrt{2}} \\= \frac{\sqrt{2}(\sqrt{3} + 1) }{\sqrt{2}\times \sqrt{2}} \\= \frac{ 1.414 ( 1.732 + 1 )}{ 2 } \\= \frac{1.414 \times 2.732 }{2} \\= \frac{4.146}{2}\\= 2.073\end{gathered}

=

3−1

(

3

+1)

=

2

(

3

+1)

=

2

×

2

2

(

3

+1)

=

2

1.414(1.732+1)

=

2

1.414×2.732

=

2

4.146

=2.073

Therefore.,

\red{ Value \:of \: \sqrt{ \frac{(\sqrt{3} + 1 )}{( \sqrt{3} - 1) } }} \green {= 2.073}Valueof

(

3

−1)

(

3

+1)

=2.073

•••♪

Answer 2

Step-by-step explanation:

$\huge {\underline{ \bf \red{HEYA\:MATE}}}$

$\huge{\blue{\boxed{\green{\boxed{\red{\boxed{\bf{\mathtt{\purple{..A}\orange{n}\pink{s}\red{w}\blue{e}\green{r..}}}}}}}}}}$

3

1

=

3

1

×

3

1

=

3

1

=

3

1.732

=0.577

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