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MATH / If A, B and C are positive integers such that (A√(B))/(C)=(9)/(2√(3)), what is the value of A+B+C given that A and C have no common prime factors, and B has no perfect-square facto…

Problem

Answer published by the source. Consult the official source to check your work against its answer.

problem

A

B

and

C

are positive integers such that

\frac{A\sqrt{B}}{C} = \frac{9}{2\sqrt{3}}

, what is the value of

A+B+C

given that

A

and

C

have no common prime factors, and

B

has no perfect-square factors other than 1?

Plain-text mathematical notation (without MathML)

If A, B and C are positive integers such that (A√(B))/(C)=(9)/(2√(3)), what is the value of A+B+C given that A and C have no common prime factors, and B has no perfect-square factors other than 1?

Original LaTeX notation

If $A$, $B$ and $C$ are positive integers such that $\frac{A\sqrt{B}}{C} = \frac{9}{2\sqrt{3}}$, what is the value of $A+B+C$ given that $A$ and $C$ have no common prime factors, and $B$ has no perfect-square factors other than 1?

level

Level 3

type

Algebra

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task_id: ae9fc936-3585-5c99-94b5-8bee01217280
task_key: algebra--test--ae9fc936-3585-5c99-94b5-8bee01217280
task_revision_id: 2
config / split: algebra / test

Official source

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