Math, asked by monagoyal3292, 1 year ago

7√3 -5√2 upon √48+ √18.... simplify by rationalising the denominator

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Answered by abdul9838

$<b> <body bgcolor = "skyblue"> <font color = "green">$

$\small \bf \pink{hey \: mate \: here \: is \: ur \: ans} \\ \\ \small \bf \pink{ \huge \: solution} \\ \\ \small \bf \pink{given \: that} \\ \\ \small \bf \pink{ \frac{7 \sqrt{3} - 5 \sqrt{2} }{ \sqrt{48} + \sqrt{18} } } \\ \\ \small \bf \pink{ \frac{7 \sqrt{3} - 5 \sqrt{2} }{ \sqrt{2 \times 2 \times 2 \times 2 \times 3} + 2 \times 3 \times 3} } \\ \\ \small \bf \pink{ \frac{7 \sqrt{3} - 5 \sqrt{2} }{4 \sqrt{3} + 3 \sqrt{2} } } \\ \\ \small \bf \pink{ \frac{(7 \sqrt{3} - 5 \sqrt{2} )(4 \sqrt{3} - 3 \sqrt{2}) }{(4 \sqrt{3} + 3 \sqrt{2} )(4 \sqrt{3} - 3 \sqrt{2} ) } } \\ \\ \small \bf \pink{ \frac{84 - 21 \sqrt{6} - 20 \sqrt{6} + 30 }{( {4 \sqrt{3} )^{2} - (3 \sqrt{2}) }^{2} } } \\ \\ \small \bf \pink{ \frac{84 + 30 - 41 \sqrt{6} }{48 - 18} } \\ \\ \small \bf \pink{ \frac{114 - 41 \sqrt{6} }{30} \: \: ans}$

Answered by kishansinghbhati

i hope it will little bit helpfull for you

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