Question

rationalize the denominator . 4/√5-2

Answer 1

#$\textbf{Answer :}$

Nown

4/(√5 - 2)

We multiply both the numerator and the denominator by conjugated irrational number (√5 + 2) to rationalise the denominator.

So, 4/(√5 - 2)

= {4 (√5 + 2)}/{(√5 - 2)(√5 + 2)}

= {4 (√5 + 2)}/(5 - 4)

= 4 (√5 + 2),

which is the required rationalised form.

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Answer 2

Answer:

20 + 4√2/23

Step-by-step explanation:

= 4/5 - √2

= 4/5 - √2 × 5 + √2/5 + √2

= 4(5 + √2)/(5 - √2)(5 + √2)

= 20 + 4√2/25 - 2

= 20 + 4√2/23

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