Let's simplify each expression separately:
(√12 - √3)^= (√12 - √3)(√12 - √3= 12 - 2√12√3 + = 15 - 2√3= 15 - 1= 3
(√12 + √3)^= (√12 + √3)(√12 + √3= 12 + 2√12√3 + = 15 + 2√3= 15 + 1= 27
Now, let's multiply the two simplified expressions together:
(√12 - √3)^2 (√12 + √3)^= 3 2= 81
Therefore, (√12 - √3)^2 * (√12 + √3)^2 = 81.
Let's simplify each expression separately:
(√12 - √3)^
= (√12 - √3)(√12 - √3
= 12 - 2√12√3 +
= 15 - 2√3
= 15 - 1
= 3
(√12 + √3)^
= (√12 + √3)(√12 + √3
= 12 + 2√12√3 +
= 15 + 2√3
= 15 + 1
= 27
Now, let's multiply the two simplified expressions together:
(√12 - √3)^2 (√12 + √3)^
= 3 2
= 81
Therefore, (√12 - √3)^2 * (√12 + √3)^2 = 81.