Question

8. For positive real numbers a, b, and c, the expressions albici and Vabac are equivalent. What are the values

of p, q, and r?

Answer 1

Explanation:

To find the values of p, q, and r in the expression albici = Vabac, we need to equate the corresponding parts on both sides.

From the given equation, we have:

p * (a * b) * (c * i) = q * (a * b * a * c)

Comparing the exponents of a, b, and c on both sides, we get:

p = q * a^2

1 = q * c

To determine the value of r, we can use the fact that albici and Vabac are equivalent. The radical symbol (√) represents taking the square root.

√(a * b * c * i) = √(a * b * a * c)

This implies that:

√(a * b * c * i) = √(a^2 * b * c)

Comparing the exponents of a, b, and c on both sides, we get:

1/2 = 2 * p * q * r

Combining all the equations, we have:

p = q * a^2

1 = q * c

1/2 = 2 * p * q * r

To find the specific values of p, q, and r, we need additional information or equations involving a, b, and c. Without more context or equations, it is not possible to determine the exact values of p, q, and r.