a)(√3+2√2)²-4√6;
(√3+2√2)² = (√3+2√2)(√3+2√2)Expanding using FOIL method:= √3√3 + √3(2√2) + 2√2√3 + 2√2(2√2)= 3 + 2√6 + 2√6 + 4√2= 3 + 4√6 + 4√2
Now, subtracting 4√6 from the result above:= 3 + 4√6 + 4√2 - 4√6= 3 + 4√2
So, (√3+2√2)² - 4√6 = 3 + 4√2.
a)(√3+2√2)²-4√6;
(√3+2√2)² = (√3+2√2)(√3+2√2)
Expanding using FOIL method:
= √3√3 + √3(2√2) + 2√2√3 + 2√2(2√2)
= 3 + 2√6 + 2√6 + 4√2
= 3 + 4√6 + 4√2
Now, subtracting 4√6 from the result above:
= 3 + 4√6 + 4√2 - 4√6
= 3 + 4√2
So, (√3+2√2)² - 4√6 = 3 + 4√2.