Simplify the rational expression. Use factoring, and assume all variable expressions represent positive real numbers.
-In an economics study, three quantities m, p, and q have been found to be related by the equation $$\mathrm { m } = \mathrm { p } ^ { 1 / 2 } \cdot \mathrm { q } ^ { 1 / 2 } \text {. Find } \mathrm { m } \text {, if } \mathrm { p } = 4 \text { and } \mathrm { q } = 25 \text {. }$$
A) 50
B) 100
C) 7
D) 10

Question

Quizplus · Accepted Answer

Given $m = p^{1/2} \cdot q^{1/2}$, substituting $p = 4$ and $q = 25$ gives $m = 4^{1/2} \cdot 25^{1/2} = 2 \cdot 5 = 10$.

Simplify the Rational Expression A) 50 B) 100 C) 7 D) 10

Simplify the Rational Expression A) 50
B) 100
C) 7
D) 10