Question

what denominator do we obtain after rationalising the denominator of 4÷7√5-5√7

Answer 1

Hey Friend ✋✋✋

I hope your question is....

$\frac{4}{7 \sqrt{5} - 5 \sqrt{7} }$
So your answer is.....

Rationalising DENOMINATOR by ( 7√5 + 5√7 )

$\frac{4 \times (7 \sqrt{5} - 5 \sqrt{7}) }{{(7 \sqrt{5})}^{2} - {(5 \sqrt{7} )}^{2} } \\ \\ = \frac{4 \times (7 \sqrt{5} - 5 \sqrt{7})}{245 - 175} \\ \\ = \frac{4 \times (7 \sqrt{5} - 5 \sqrt{7})}{70} \\ \\ = \frac{14 \sqrt{5 } - 20 \sqrt{7} }{35}$



Hope it helps

Answer 2

Answer:

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Step-by-step explanation:

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