Question

simplify [3/5+√3] +[2/5-√3]​

Answer 1

Step-by-step explanation:

=3/5-√3+2/5+√3

=3(5+√3)+2(5-√3)/5² - (√3)²

=15+3√3+10-2√3/25-3

=25+√3/22

Answer 2

Given :  3/(5 - √3)  + 2/(5 + √3)

To Find : Simplify

Solution:

 3/(5 - √3)  + 2/(5 + √3)

= {3(5 + √3)  + 2(5 - √3)}/((5 - √3)/(5 + √3)

in denominator

(a - b)(a + b) = a² - b²

a = 5  b = √3

= { 15 + 3√3   + 10 - 2√3) /(25 - 3)

= ( 25  + √3)/22

= 25/22 + √3/22

3/(5 - √3)  + 2/(5 + √3) = 25/22 + √3/22  

Learn more:

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