Question

simplify :( 3÷√7 - √6 ) + (4÷ √5 - 2)​

Answer 1

${ \huge \bf{ \mid{ \overline{ \underline{ \pink{QUESTION}}}} \mid}} \longrightarrow$

simplify :( 3÷√7 - √6 ) + (4÷ √5 - 2)

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⠀⠀⠀⠀$\huge {\mathbf{ \green{ \underbrace{ \blue{ \boxed{ \red{ \fbox{ \green{ \underline{ answer}}}}}}}}}}$

$\large\underline{ \underline{ \green{ \bold{solution}}}} = >$

$( \frac{3}{ \sqrt{7} } - \sqrt{6} ) + ( \frac{4}{ \sqrt{5} } - 2) \\ \\ = > \frac{3}{ \sqrt{7} } - \sqrt{6} + \frac{4}{ \sqrt{5} } - 2$

⠀⠀⠀Rationalising the denominator

$\frac{3}{ \sqrt{7} } \times \frac{ \sqrt{7} }{ \sqrt{7} } - 6 + \frac{4}{ \sqrt{5} } \times \frac{ \sqrt{5} }{ \sqrt{5} } - 2 \\ \\ = > \frac{3 \sqrt{7} }{7} - \sqrt{6} + \frac{4 \sqrt{5} }{5} - 2 \\ \\ = > \frac{15 \sqrt{7} - 35 \sqrt{6} + 28 \sqrt{5} - 70 }{35}$