Simplify (under root 3+under root 3)(under root 3+under root 7
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Given √3+1/√3-1
We need to rationalize the givenequation
To rationalize we will multiply and divide the denominator by √3+1
(√3+1)√3+1)/(√3-1)(√3+1)
Denominator can be simplified using the identity (a2-b2)=(a-b)(a+b)
And the equation becomes
=(√3+1)2/(√3)2-(1)2
=(4+2√3)/2
=2+√3
We need to rationalize the givenequation
To rationalize we will multiply and divide the denominator by √3+1
(√3+1)√3+1)/(√3-1)(√3+1)
Denominator can be simplified using the identity (a2-b2)=(a-b)(a+b)
And the equation becomes
=(√3+1)2/(√3)2-(1)2
=(4+2√3)/2
=2+√3
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