Answer:
Explanation:
To simplify the expression (√5-3√2)^2, we can use the formula for squaring a binomial:
(a - b)^2 = a^2 - 2ab + b^2
In this case, we have:
a = √5
b = 3√2
So we can substitute these values into the formula:
(√5 - 3√2)^2 = (√5)^2 - 2(√5)(3√2) + (3√2)^2
Simplifying, we get:
(√5 - 3√2)^2 = 5 - 6√10 + 18
= 23 - 6√10
Therefore, (√5 - 3√2)^2 simplifies to 23 - 6√10.