Question

rationalise the denominator ​

Answer 1

Step-by-step explanation:

= (7+3√5)*(7+3√5)/(7-3√5)*(7+3√5)

= (7+3√5)^2/7^2-(3√5)^2

= 49+45+42√5/4

= 94+42√5/4

HOPE IT HELPS U

Answer 2

$\huge{\underline{\underline{\bold{\mathtt{\purple{✍A{\pink{N{\green{S{\blue{W{\red{E{\orange{R✍}}}}}}}}}}}}}}}}$$\huge{\rightarrow}$

⟹ $\mathtt{\frac{7+3\sqrt{5}}{7-3\sqrt{5}} \times \frac{7+3\sqrt{5}}{7+3\sqrt{5}}}$

⟹ $\mathtt{\frac{{7+3\sqrt{5}}^{2}}{{7}^{2} - {{3\sqrt{5}}^{2}}}$

⟹ $\mathtt{\frac{49+45+2\times7\times3\sqrt{5}}{49-45}}$

⟹ $\mathtt{\frac{94+42\sqrt{5}}{4}}$

÷ by 2

⟹ $\mathtt{\frac{47+21\sqrt{5}}{2}}$