Question

Simplify (1-✓3)(1/3+✓3) leaving your answer in the form p+q✓3

Answer 1

Answer:

Step-by-step explanation:

Given (1-$\sqrt{3}$)/(1+$\sqrt{3}$)

By rationalising

(1-$\sqrt{3}$)^2/(1^2-($\sqrt{3}$)^2)

(1+3-2$\sqrt{3}$)/-2

4-2$\sqrt{3}$/-2

$\sqrt{3}$-2

Comparing with p+$q\sqrt{3}$

p=-2

q=1

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