Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Power Operation
Power operation is topic of algebra in Math. It is use to represent repeated multiplication. Very big number and very small number can be easily express using power operation. Power operation is useful in many fields. In space engineering, it helps in representing the distance or size of particular heavenly body. In medical field, it is used to represent very small size. In medical field it helps to mention size of bacteria or virus.
Exponents
The exponent or power or index of a variable/number is the number of times that variable/number is multiplied by itself.
Question
![**Rationalize the denominator of each expression and simplify.**
\[
\frac{\sqrt{5}}{\sqrt{7} - \sqrt{3}}
\]
In this problem, the task is to rationalize the denominator of the given rational expression and simplify it. In mathematics, rationalizing the denominator means to eliminate any irrational numbers (such as square roots) from the denominator of a fraction. This is done by multiplying both the numerator and the denominator by a suitable expression that removes the square roots from the denominator.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4d195721-de89-428b-98bb-2769b26cd5c0%2F40db9e08-afad-493b-b337-b88f069a05fd%2Fw7hmi1_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Rationalize the denominator of each expression and simplify.**
\[
\frac{\sqrt{5}}{\sqrt{7} - \sqrt{3}}
\]
In this problem, the task is to rationalize the denominator of the given rational expression and simplify it. In mathematics, rationalizing the denominator means to eliminate any irrational numbers (such as square roots) from the denominator of a fraction. This is done by multiplying both the numerator and the denominator by a suitable expression that removes the square roots from the denominator.
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