Question

rationalise the denominator 30 upon 5 under root 3 - 3 underoot 5​

Answer 1

Answer:

HOPE IT HELPS YOU..❤️

Answer 2

Question:-

Rationalize the denominator—>$\sf{\dfrac{30}{5\sqrt{3} - 3\sqrt{5}}}$

Solution:-

= $\sf{\dfrac{30}{5\sqrt{3} - 3\sqrt{5}}}$

=> $\sf{\dfrac{30}{5\sqrt{3} - 3\sqrt{5}} \times {\dfrac{5\sqrt{3} + 3\sqrt {5}}{5\sqrt{3} + 3\sqrt{5}}}}$

=> $\sf{\dfrac{30 \times (5\sqrt{3} + 3\sqrt{5})}{{(5\sqrt{3})}^{2} - {(3\sqrt{5})}^{2}}}$

=> $\sf{\dfrac{30 \times (5\sqrt{3} + 3\sqrt{5})}{75 - 45}}$

=> $\sf{\dfrac{30 \times (5\sqrt{3} + 3\sqrt{5})}{30}}$ [30 gets cancelled]

=> $\sf{5\sqrt{3} + 3\sqrt{5}}\: \: {\boxed{Answer}}$

What is rationalizing the denominator?

Answer- It is the process of converting and irrational denominator into it's rational form by multiplying the same number of the denominator with different signs again with numerator and denominator.