Simplify -
[tex]\bf \: \dfrac{3}{ \sqrt{5} \: + \sqrt{2}} \: - \: \dfrac{2}{ \sqrt{7} \: + \sqrt{5}} \: + \: \dfrac{5}{ \sqrt{7} \: - \: \sqrt{2} } \\ [/tex]
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Simplify -
[tex]\bf \: \dfrac{3}{ \sqrt{5} \: + \sqrt{2}} \: - \: \dfrac{2}{ \sqrt{7} \: + \sqrt{5}} \: + \: \dfrac{5}{ \sqrt{7} \: - \: \sqrt{2} } \\ [/tex]
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Question:-
To simplify:-
Solution:-
Let us rationalize all the terms separately,
By rationalizing the denominator,
Applying the identity in the denominator:-
By rationalizing the denominator,
By rationalizing the denominator,
Putting all the values in (i)
= (√5 - √2) - (√7 - √5) + (√7 + √2)
= √5 - √2 - √7 + √5 + √7 + √2
= √5 + √5 - √2 + √2 - √7 + √7
= 2√5
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Verified answer
Answer:
First of all we will rationalise each fractions separately.
Now putting the rationalised fractions in
We get;