Question

The rationalizing factor of 4–√3+8–√3+16−−√3 is​

Answer 1

Step-by-step explanation:

(i)trial factor : (1+√2+√3)(1+√2–√3)↙=3+2√2–3=2√2

(ii) revised factor : √2(1+√2–√3)↙

(iii) improved factor : (2+√2–√6)

(iii)testing it out :

(1+√2+√3)(2+√2-√6)

=2+√2–√6

+2+2√2–2√3

+2√3+√6–3√2

=4→it works !