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4 years ago

How do I simplify this radical?

Mathematics

1 answer:

Yuliya22 [10]4 years ago

7 0

Separate the root expression into the two numbers you found as factors, with each number now under its own square root symbol. For example, sqrt(12) = sqrt(4) times sqrt(3). 3) Keep simplifying. The square root of a perfect square becomes just a number, without theradical<span> square root symbol.</span>

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What is the simplified form of the quantity 1 over b minus 1 over a all over the quantity 1 over b plus 1 over a?

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Option B: (b-a)/(b+a) is the correct answer

Step-by-step explanation:

The given expression is;

$\frac{\frac{1}{b}-\frac{1}{a}}{\frac{1}{b}+\frac{1}{a}}$

First of all we have to take LCM in both numerator and denominator

So,

$=\frac{\frac{b-a}{ab}}{\frac{b+a}{ab}}$

The reciprocal of the denominator will be multiplied with the numerator for simplification

So,

$=\frac{b-a}{ab} * \frac{ab}{b+a}\\= \frac{b-a}{b+a}$

Hence,

Option B: (b-a)/(b+a) is the correct answer

Keywords: Fractions, expressions

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Read 2 more answers

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Note:
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Consider the given expressions.
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Answer:
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