Question

if √3= 1.732 then find the value of √2-√3/√2+√3 is ​

Answer 1

Answer:

I hope this Will help you

Answer 2

1.04 (Approx)

Step-by-step explanation:

Given:

√3 = 1.732

√2 = 1.414 (I know)

To find:

The value of $\dfrac{ \sqrt{2} - \sqrt{3} }{ \sqrt{2} + \sqrt{3} }$

Solution:

1st We just need to rationalize the denominator of question.

2nd Substituting the value of given, We will get the answer.

Sound so simple ^_^

$\frac{ \sqrt{2} - \sqrt{3} }{ \sqrt{2} + \sqrt{3} } \\ \\ \frac{( \sqrt{2} - \sqrt{3})( \sqrt{2} - \sqrt{3} ) }{( \sqrt{2} + \sqrt{3})( \sqrt{2} - \sqrt{3} ) } \\ \\ \frac{ {( \sqrt{2} - \sqrt{3} )}^{2} }{ { (\sqrt{2}) }^{2} - {( \sqrt{3} )}^{2} } \\ \\ \frac{ {( \sqrt{2}) }^{2} + {( \sqrt{3} )}^{2} - 2. \sqrt{2} . \sqrt{3} }{2 - 3} \\ \\ \frac{2 + 3 - 2 \sqrt{6} }{ - 1} \\ \\ \frac{5 - 2 \sqrt{6} }{ - 1} \\ \\ - (5 - 2 \sqrt{6} ) \\ \\ 2 \sqrt{2}. \sqrt{3} - 5$

[Substituting the given values ]

$2 \times 1.141 \times 1.732 - 5 \\ \\ 2 \times 1.976212 - 5 \\ \\ 2 \times 1.98 - 5 \\ \\ 3.96 - 5 \\ \\ 1.04 \: \: \: [\text{approx}]$

Therefore, the required answer is 1.04 approx.