Question

Rationalizing factor of 5+2root3 by 7-4root3

Answer 1

(5+2✓3)/(7-4✓3)
when we multiply by (7+4✓3)/(7+4✓3)
we get (5+2✓3)×(7+4✓3)/(7+4✓3)×(7-4✓3)
now 7+4✓3. ×7-4✓3 will be simplified as (a+b)(a-b)= a²-b²
7²-(4✓3)²= 49-48=1
then it becomes (5+2✓3)×(7+4✓3) upon 1=
35+20✓3+14✓3+8×2√3×2✓3=
35+34✓3+24=
59+34✓3
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