Question

How to rationalize denominator of 4/✓7+✓3

Answer 1

$<b><u><i>$Rationalizing the denominator :

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

=> Multiply the given numerator and the denominator with a term which makes the denomimator rational.

=> Here, the term is, √7 - √3.

=> In this case, you just need to take the denominator and change the signs and multiply it with the numerator and denominator as shown in the solution above.

Answer 2

Answer:

Step-by-step explanation:

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