Question

if root 2 equal to 1.414 and root 3 equal to 1.732 then find the value of 1 / root 3+root 2​

Answer 1

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

$Value \: of \: \frac{1}{(\sqrt{3} + \sqrt{2})}$

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

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

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

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

$= \sqrt{3} - \sqrt{2}$

$= 1.732 - 1.414$

$= 0.318$

Therefore.,

$\red{ Value \: of \: \frac{1}{(\sqrt{3} + \sqrt{2})} }$

$\green {= 0.318}$

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Answer 2

Answer:

Root 71 = 8.485 and,

Root 48=6.928

Answer is 15.413

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