Question

(√а - √b)^2 _________(√p+3√g)^2

Answer 1

(a+b-2√а√b)/(p+9g+6√p√g)

Answer 2

To simplify the expression (√a - √b)^2 / (√p + 3√g)^2, you can start by expanding both the numerator and the denominator of the fraction and then simplifying the expression further.

Numerator (Expanding and squaring): (√a - √b)^2 = (√a - √b)(√a - √b) = (√a - √b)(√a - √b) = (√a - √b)² = a - 2√ab + b

Denominator (Expanding and squaring): (√p + 3√g)^2 = (√p + 3√g)(√p + 3√g) = (√p + 3√g)(√p + 3√g) = (√p + 3√g)² = p + 6√pg + 9g

Now, you can rewrite the original expression with the simplified numerator and denominator:

(a - 2√ab + b) / (p + 6√pg + 9g)

That's the simplified form of the given expression.