Question

rationalise 5/7-2root3​

Answer 1

qυєsтIση :-

• rationalise :
• $\mathtt{ \frac{5}{7 - 2 \sqrt{3} } }$

αηsωєя :-

• $\mathtt{ \frac{5}{7 - 2 \sqrt{3} } } \\ \\ \sf{multiplying \: by \: (7 + 2 \sqrt{3} )in \: both} \\ \sf{numerator \: and \: denominator} \\ \\ \mathtt{ \frac{5}{7 - 2 \sqrt{3} } \times \frac{7 + 2 \sqrt{3} }{7 + 2 \sqrt{3} } } \\ \\ \mathtt{ \frac{5(7 + 2 \sqrt{3}) }{(7) {}^{2} - (2 \sqrt{3} ) {}^{2} } } \\ \\ \mathtt{ \frac{35 - 10 \sqrt{3} }{49 - 12} } \\ \\ \boxed{ \mathtt{ \frac{35 - 10 \sqrt{3} }{37} }}$