Rationalize the Denominator $$\frac { \sqrt { 3 } } { \sqrt { 7 } + 2 }$$

question 36

Multiple Choice

Rationalize the denominator. Assume that all variables represent nonnegative numbers and that the denominator is not
zero.
- $$\frac { \sqrt { 3 } } { \sqrt { 7 } + 2 }$$

• A) \(\frac { \sqrt { 21 } - 2 \sqrt { 3 } } { 3 }\)
• B) \(\frac { \sqrt { 21 } - 2 \sqrt { 3 } } { 9 }\)
• C) \(\frac { \sqrt { 21 } + 2 \sqrt { 3 } } { 3 }\)
• D) \(\frac { 3 \sqrt { 21 } + 73 } { 14 }\)

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Definitions:

Phenylketonuria

Phenylketonuria (PKU) is a genetic disorder resulting from the body's inability to process part of a protein called phenylalanine, which can lead to intellectual disabilities if untreated.

L-DOPA

A precursor to dopamine used in the treatment of Parkinson's disease and dopamine-responsive dystonias.

Parkinson's Disease

A progressive neurological disorder that affects movement, causing symptoms such as tremors, stiffness, and slow movement.

PKU

Phenylketonuria, a genetic disorder leading to the inability to metabolize phenylalanine, which can cause brain damage if not treated with a special diet from birth.