How do you simplify $$\frac{10}{\text{√12}}$$ ?

Multiply the numerator and denominator by $$\text{√12}$$ to rationalize: $$\frac{10\text{√12}}{12} = \frac{5\text{√3}}{3}$$ .

What is the simplified form of $$\text{√(a^2)}$$ ?

The simplified form is $$a$$ , assuming $$a$$ is non-negative.

What is the sum of two square roots?

The sum of two square roots cannot be simplified in the same way as products; it remains as $$\text{√a} + \text{√b}$$ .

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

The simplified form is $$x\text{√y}$$ , assuming $$x$$ is non-negative.

What is the simplified form of $$\text{√(50)}$$ ?

$$\text{√(50)} = \text{√(25*2)} = 5\text{√2}$$ .

How do you combine like terms with radicals?

You can only combine like terms if the radicals are the same. For example, $$3\text{√2} + 2\text{√2} = 5\text{√2}$$ .

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.

What is the simplified form of $$\text{√(a^4)}$$ ?

The simplified form is $$a^2$$ , assuming $$a$$ is non-negative.

Radicals & Simplifying Radical Expression Flashcards

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1.

FLASHCARD QUESTION

Front

What is a radical?

Back

A radical is an expression that includes a root, such as a square root (√) or cube root (∛).

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