find the value of
\frac{3}{ \sqrt{5} + \sqrt{2} } + \frac{7}{ \sqrt{5} - \sqrt{2} }5+23+5−27
if \sqrt{5 = 2.236} and \sqrt{2 = 1.414}if5=2.236and2=1.414
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We know that 22 = 4 < 5 < 9 = 32 Taking positive square roots we get2 < √5 < 3.Next, (2.2)2 = 4.84 < 5 < 5.29 = (2.3)2Taking positive square roots, we have2.2 < √5 < 2.3Again, (2.23)2 = 4.9729 < 5 < 5.0176 = (2.24)2Taking positive square roots. we obtain2.23 < √5 < 2.24Hence the required approximation is 2.24 as (2.24)2 is nearest to 5 than(2.23)2
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Answer:
Your ans..is..
frac{3}{ \sqrt{5} + \sqrt{2} } + \frac{7}{ \sqrt{5} - \sqrt{2} }5+23+5−27
if \sqrt{5 = 2.236} and \sqrt{2 = 1.414}if5=2.236and2=1.414
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