How To Rationalize The Denominator Of a Surd
To rationalize the denominator means to eliminate any radical expressions in the denominator such as square roots and cube roots. The key idea is to multiply the original fraction by an appropriate value, such that after simplification, the denominator no longer contains radicals.
When the denominator is a monomial, the basic strategy is to apply the fact that
√x * √x = (√x)² = x
On the other hand, if the denominator is a binomial, the notion of conjugate comes in handy. The conjugate of a binomial is equal to the binomial itself, however, the middle sign is changed or switched.
And so if two conjugates are multiplied together, the result is always rational.
Example (√a+√b)(√a-√b) = √a²-√b² = a-b
and a-b is rational.
While dealing with Fractions in which the denominator is an irrational, to make it rational, you need to multiply the top and the bottom by the same irrational number on the denominator for a monomial surd.
For a binomial surd, you need to multiply the top and bottom by the conjugate of the denominator.
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Пікірлер: 75
Anyone who does not understand needs a doctor. Such an amazing teacher!!!
@tambuwalmathsclass
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@tambuwalmathsclass
2 жыл бұрын
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Thanks so much! This really helped me in my exam.
Wow all thanks to you I never know know I will understand surds but today i really understand it well
@tambuwalmathsclass
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@tambuwalmathsclass
2 жыл бұрын
Thank you
I understand your lesson perfectly
Many thanks for simplifying this seeming complex problem.
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2 жыл бұрын
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@tambuwalmathsclass
5 ай бұрын
Thank you 🙏
Thanks for your explanation.
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@tambuwalmathsclass
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Really that's so cute and i will improve my Mathematics with you.Great thanks sir
Omor! Thank you, sir.
Thx so much, I have got it🙂
@sir where is the _2 square 6 the 2 where is it coming from?
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Thanks sir
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@tambuwalmathsclass
2 жыл бұрын
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Learning made easy.
Thanks for helping 🥳🤣🥳🥳🔥
What about functions and sketches
Please sir can you please solve this question I saw it in a jamb past question I think it's on surd. (4)√1+a - √a ÷ √1+a + √a
Thank you so much i am Indian 🇮🇳 but you are step by step proper explain
@tambuwalmathsclass
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Wonderful approach, thanks!
@tambuwalmathsclass
3 жыл бұрын
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Thank you 🙏
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@tambuwalmathsclass
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Thanks
You are a very amazing teacher thank vlots of❤❤❤❤ 13:17
@user-ut6yt8nv9e
6 ай бұрын
Thank a lot Sorry gor error
@user-ut6yt8nv9e
6 ай бұрын
Sorry for error
Cool❤
Simplifying surds is really difficult...pls make it easier for me
I understand different of two square in surds
It is very very very good but sir please you can't just produce a single video for on topic complete
@tambuwalmathsclass
Жыл бұрын
I made series of videos for every chapter, they are on my KZread playlists
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thank u teacher watching 2024
Root 2 by Root 2should be the same number which is 2 right and not root 4 as u solved in ur second example; Pls check it for me🙏
@tambuwalmathsclass
Жыл бұрын
Root 4 is 2, recall
@michealotchere1229
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@@tambuwalmathsclass Tnx very much
@user-jw7lv3ye8v
9 ай бұрын
Please forward the answers
√300_3√12+7√25
Where are you from?
@tambuwalmathsclass
5 күн бұрын
Nigeria
@vermaji630
5 күн бұрын
@@tambuwalmathsclass I'm From India
Sir you are making illustrations
@tambuwalmathsclass
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Thank you
Please simplify 1/(1-√3)^2
@monkeydflunky4788
Жыл бұрын
Oga go do ur assignment
X6=19x3=126
@mohamedkamara621
Жыл бұрын
How to solve this equation.
Interesting
I understand different of two square in surds