Question

plz solve this plz plz...... ​

Answer 1

5Q) Visualise 2.665 on number line using successive magnification

hey mate ur 5Q answer is in above attachment

Answer 2

$\frac{3 \sqrt{2} }{ \sqrt{6} - \sqrt{3} } + \frac{2 \sqrt{3} }{ \sqrt{6} + 2} - \frac{4 \sqrt{3} }{ \sqrt{6} - \sqrt{2} }$

Rationalize the denominators of each term.

$( \frac{3 \sqrt{2} }{ \sqrt{6} - \sqrt{3} } \times \frac{ \sqrt{6} + \sqrt{3} }{\sqrt{6} + \sqrt{3}} ) + (\frac{2 \sqrt{3} }{ \sqrt{6} + 2} \times \frac{ \sqrt{6} - 2}{ \sqrt{6} - 2} ) - ( \frac{4 \sqrt{3} }{ \sqrt{6} - \sqrt{2} } \times \frac{ \sqrt{6} + \sqrt{2} }{\sqrt{6} + \sqrt{2}} ) \\ \\ = \frac{3(2 \sqrt{3} + \sqrt{6}) }{3} \: + \frac{2(3 \sqrt{2} - 2 \sqrt{3}) }{2} \: - \frac{4(3 \sqrt{2} + \sqrt{6} )}{4} \\ \\ = 2 \sqrt{3} + \sqrt{6} + 3 \sqrt{2} - 2 \sqrt{3} - 3 \sqrt{2} - \sqrt{6} \\ \\ = 0$