The conjugate surd of 2+√3 is ………… *
Answers
If a = √3 and b= 1 ,then denominator is ( a-b) , if we multiply ( a+b) or √3+1 , it will a2-b2 and √3 will be squared off.
= 2(\sqrt{3}+1) .In above example √3+1 is used as rationalizing factor which is a conjugate to √3-1 .
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The conjugate surd of 2 + √3 is 2 - √3
Given :
The surd 2 + √3
To find :
The conjugate surd of 2 + √3
Solution :
Step 1 of 2 :
Write down the given surd
The given surd is 2 + √3
Step 2 of 2 :
Find the conjugate surd of 2 + √3
We know that for any given surd is a + √b the conjugate surd of a + √b is a - √b
Thus conjugate surd of 2 + √3
= 2 - √3
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