Asked by Nathan Papke on Jul 06, 2024
Verified
Rationalize the denominator and simplify the expression 2z\frac { 2 } { \sqrt { z } }z2 .
A) 2zz2\frac { 2 \sqrt { z } } { z ^ { 2 } }z22z
B) 2zz\frac { 2 \sqrt { z } } { z }z2z
C) 2
D) 2z2 \sqrt { z }2z
E) 2+zz\frac { 2 + \sqrt { z } } { z }z2+z
Rationalize Denominator
The process of eliminating a root from the denominator of a fraction.
- Execute tasks associated with radical expressions, including the actions of adding, subtracting, and rationalizing.
Verified Answer
NS
Neyla SilvaJul 12, 2024
Final Answer :
B
Explanation :
To rationalize the denominator, we multiply the numerator and denominator by $\sqrt{z}$: $\frac{2\sqrt{z}}{z\cdot \sqrt{z}} = \frac{2 \sqrt{z}}{z}$, which is already simplified. Therefore, the answer is B.
Learning Objectives
- Execute tasks associated with radical expressions, including the actions of adding, subtracting, and rationalizing.
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