Question

Simplify:

`(6 - sqrt(5))^2`

Answer 1

Given: `(6 - sqrt(5))^2`

Stepwise calculation:

Use the formula for the square of a binomial (a – b)² = a² – 2ab + b²:

= `6^2 - 2 xx 6 xx sqrt(5) + (sqrt(5))^2`

Calculate each term:

= `36 - 12sqrt(5) + 5`

Combine the rational terms:

= `41 - 12sqrt(5)`