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

Front

Back

3.

FLASHCARD QUESTION

Front

What is the square root of a negative number?

Back

4.

FLASHCARD QUESTION

Front

Back

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

Front

Back

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