Question

If root 2=1.4 and root 3=1.7 find the value of 1/3+2root 2

Answer 1

$Given \: \sqrt{2} = 1.4 \: and \: \sqrt{3} = 1.7$

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

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

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

$= \frac{(3-2\sqrt{2}}{ 9 - 8}$

$= 3 - 2\sqrt{2}$

$= 3 - 2\times 1.4$

$= 3 - 2.8$

$= 0.2$

Therefore.,

$\red{ Value \:of \: \frac{1}{(3+2\sqrt{2})} }\green {= 0.2 }$

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