How do you simplify $$\frac{\text{a}}{\text{b}}$$ when a and b are perfect squares?

To simplify $$\frac{\text{a}}{\text{b}}$$ , take the square root of both the numerator and the denominator separately: $$\frac{\text{a}}{\text{b}} = \frac{\text{√a}}{\text{√b}}$$ .

How do you simplify $$\frac{\text{√a}}{\text{√b}}$$ ?

You can simplify $$\frac{\text{√a}}{\text{√b}}$$ to $$\text{√}\frac{a}{b}$$ .

How do you simplify $$\text{√(x^2)}$$ ?

$$\text{√(x^2)} = |x|$$ , where |x| denotes the absolute value of x.

What is a perfect square?

A perfect square is an integer that is the square of another integer. For example, 1, 4, 9, and 16 are perfect squares.

How do you express $$\text{√(a^2b)}$$ in simplified form?

$$\text{√(a^2b)} = a\text{√b}$$ , assuming a is non-negative.

What is the difference between rational and irrational numbers?

Rational numbers can be expressed as a fraction of two integers, while irrational numbers cannot be expressed as a simple fraction. For example, $$\text{√2}$$ is irrational.

How do you add $$\text{√a} + \text{√b}$$ ?

You can only add radicals if they have the same radicand. If they do, you can combine them as $$\text{√a} + \text{√a} = 2\text{√a}$$ .

What is the radical form of $$\frac{1}{\text{√x}}$$ ?

The radical form of $$\frac{1}{\text{√x}}$$ is $$\text{√}\frac{1}{x}$$ .

How do you rationalize the denominator of $$\frac{1}{\text{√a}}$$ ?

To rationalize the denominator, multiply the numerator and denominator by $$\text{√a}$$ : $$\frac{1}{\text{√a}} \times \frac{\text{√a}}{\text{√a}} = \frac{\text{√a}}{a}$$ .

radicals Flashcards

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14 questions

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1.

FLASHCARD QUESTION

Front

What is a radical in mathematics?

Back

2.

FLASHCARD QUESTION

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3.

FLASHCARD QUESTION

Front

What is the square root of a negative number?

Back

4.

FLASHCARD QUESTION

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5.

FLASHCARD QUESTION

Front

What is the product property of radicals?

Back

6.

FLASHCARD QUESTION

Front

What is the quotient property of radicals?

Back

7.

FLASHCARD QUESTION

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