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Rationalize the denominator for each of the following expressions. 

 

a.        1/(2 + √3)

 

 

b.         3/(√5 - √2)

 

 

c.         √5/(2√3 + 7)

 Jul 16, 2021
 #1
avatar+2266 
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For each of them, you want to multiply the numerator and denominator by the conjugate of the denominator.

1/(2 + √3) * (2 - √3)/(2 - √3) = (2 - √3)/(2^2 - sqrt(3)^2) = (2-sqrt(3))/1 = 2-sqrt(3)

Try the other ones. :))

 

=^._.^=

 Jul 16, 2021
 #2
avatar+115426 
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Please do not post chunks of your homework here and expect people to do it for you.

One question = one post.

 Jul 17, 2021

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