Question

Can someone please simplify it with process ? I'll mark then brainliest And please no useless answers or you will be reported​

Answer 1

Step-by-step explanation:

22/(2√3 + 1) + 17/(2√3 - 1)

rationalising 22/(2√3 + 1)

= 22/(2√3+1) × (2√3-1)/(2√3-1)

= 22(2√3-1)/[(2√3)²-(1)²]

= 22(2√3-1)/(12-1)

= 22(2√3-1)/(11)

= 2(2√3-1)

= 4√3-2

rationalising 17/(2√3 - 1)

= 17/(2√3-1) × (2√3+1)/(2√3+1)

= 17(2√3+1)/[(2√3)²-(1)²]

= 17(2√3+1)/(12-1)

= (34√3+17)/(11)

now adding after rationalisation

4√3-2 + (34√3+17)/(11)

= (44√3-22+34√3+17)/11

= (78√3-5)/11