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MATH / Express (6)/(√(245)+3√(125)+4√(45)) in the form (A√(B))/(C) where A and C are relatively prime integers, C is positive, and B is not divisible by the square of any prime. Find …

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problem

Express 6245+3125+445\dfrac{6}{\sqrt{245}+3\sqrt{125}+4\sqrt{45}} in the form ABC\frac{A\sqrt{B}}{C} where AA and CC are relatively prime integers, CC is positive, and BB is not divisible by the square of any prime. Find A+B+CA+B+C.
Plain-text mathematical notation (without MathML)
Express (6)/(√(245)+3√(125)+4√(45)) in the form (A√(B))/(C) where A and C are relatively prime integers, C is positive, and B is not divisible by the square of any prime. Find A+B+C.
Original LaTeX notation
Express $\dfrac{6}{\sqrt{245}+3\sqrt{125}+4\sqrt{45}}$ in the form $\frac{A\sqrt{B}}{C}$ where $A$ and $C$ are relatively prime integers, $C$ is positive, and $B$ is not divisible by the square of any prime. Find $A+B+C$.

level

Level 4

type

Algebra

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Source and history

task_id
9702910b-3b51-5f68-b256-0451be593db4
task_key
algebra--test--9702910b-3b51-5f68-b256-0451be593db4
task_revision_id
1
config / split
algebra / test

Official source

initial import