Question

given root 2=1.414,find the value of 8-5 root of 2 divided by 3-2 root of 2 [to 3 places of decimals]

Answer 1

$\textbf{ \huge{\underline{ Hello Mate! }}}$

$= \frac{8 - 5 \sqrt{2} }{3 - 2\sqrt{2} } \\ \\ On \: rationalizing \\ \\= \frac{8 - 5 \sqrt{2} }{3 - 2 \sqrt{2} } \times \frac{3 + 2\sqrt{2} }{3 + 2 \sqrt{2} } \\ = \frac{24 + 16 \sqrt{2} - 15 \sqrt{2} - 20}{9 - 4 \times 2} \\ = \frac{4 - \sqrt{2} }{9 - 8} = 4 - \sqrt{2}$

Substituting value of root 2 by 1.414 we get,

= 4 - 1.414

= 2.586

$\textsf{\red{ Hence answer is 2.586 }}$

$\textbf{ Have great future ahead! }$

Answer 2

Step-by-step explanation:

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