Question

Which is equivalent to the radical expression below (5-2 square root of a)²

Answer 1

The expression (5-2 square root of a)² is equivalent to 4a - 20 square root of a + 25.

Step-by-step explanation:

The given expression is (5-2 square root of a)². To simplify this expression, we can use the formula (a - b)² = a² - 2ab + b².

Using this formula, we can expand the given expression as:

(5 - 2 square root of a)² = 5² - 2(5)(2 square root of a) + (2 square root of a)²

Simplifying further:

25 - 20 square root of a + 4a = 4a - 20 square root of a + 25

Therefore, the expression (5-2 square root of a)² is equivalent to 4a - 20 square root of a + 25.