Rationalize the Denominator and Simplify $\frac { \sqrt { x } } { \sqrt { x } - 10 }$

question 54

Multiple Choice

Rationalize the denominator and simplify. The variable represents a positive real number. $\frac { \sqrt { x } } { \sqrt { x } - 10 }$

• A) \(\frac { 10 \sqrt { x } } { x - 100 }\)
• B) \(\frac { x + 10 \sqrt { x } } { x - 10 }\)
• C) \(\sqrt { x }\)
• D) \(\frac { 11 x } { x - 100 }\)
• E) \(\frac { x + 10 \sqrt { x } } { x - 100 }\)

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Definitions:

Psychosexual Stages

A theory by Freud describing the stages of a child's development from birth to adulthood, through which sexual energy (libido) is focused on different erogenous zones.

Freud

Sigmund Freud, an Austrian neurologist who is known for founding psychoanalysis, a method for treating psychopathology through dialogue between a patient and a psychoanalyst.

Piaget

A Swiss psychologist known for his pioneering work in child development and his theory of cognitive development stages.

Vygotsky

A Russian psychologist, Lev Vygotsky, known for his work on the social development theory which emphasizes the fundamental role of social interaction in the development of cognition.