Rationalise the denominator 5 by√7-√5

⇛{5(√7+√5)}/2.

Step-by-step explanation:

Given,

5/(√7-√5)

The denominator is √7-√5.

We know that

The rationalising factor of √c-√a is √c+√a.

Therefore, the rationalising factor of √7-√5 is √7+√5. To rationalise the denominator of 5/(√7-√5), we multiply this by (√7+√5)/(√7+√5).

⇛{5/(√7-√5)}/{(√7+√5)/(√7+√5)}

⇛{5(√7+√5)}/{(√7-√5)(√7+√5)}

⇛{5(√7+√5)}/{(√7)²-(√5)} [∵ (a-b)(a+b)=a²-b²]

⇛{5(√7+√5)}/{(√7*7)-(√5*5)}

⇛{5(√7+√5)}/(7-5)

⇛{5(√7+√5)}/2

Hence, the denominator is rationalised.

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Similar Question;

rationalise the denominator 1/√20..

link

answer. d.289 hope that

the correct answer would be:

220 centimeters

to get this you can use the pythagorean theorem

hope this

step-by-step explanation: