Question

7−(√(3)−1)^(2)√(7)−√(3)+1

Answer 1

7−(√(3)−1)^(2)=7-3+2√3-1=3+2√3

Answer 2

To simplify the expression 7 - (√3 - 1)²√7 - √3 + 1, let's break it down step by step:

1. Simplify the term (√3 - 1)²: (√3 - 1)² = (√3 - 1) × (√3 - 1) = (√3 - 1) × (√3 - 1) = (√3)² - √3 - √3 + 1 = 3 - 2√3 + 1 = 4 - 2√3

2. Substitute the simplified term (√3 - 1)² into the expression: 7 - (√3 - 1)²√7 - √3 + 1 = 7 - (4 - 2√3)√7 - √3 + 1 = 7 - 4√7 + 2√3√7 - √3 + 1 = 7 - 4√7 + 2√21 - √3 + 1

Now, the expression is simplified to 7 - 4√7 + 2√21 - √3 + 1.