A radical is an expression that includes a root, such as a square root (√) or cube root (∛). For example, $$\text{√}x$$ is a radical.

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

You can simplify it to $$\text{√}(ab)$$ .

What is the simplified form of $$\text{√}{18}$$ ?

The simplified form is $$3\text{√}{2}$$ .

How do you simplify $$\frac{\text{√}6}{\text{√}50}$$ ?

You can simplify it to $$\frac{\text{√}3}{5}$$ .

What is the result of $$-4\text{√}{15} \times 2\text{√}{5}$$ ?

The result is $$-40\text{√}{3}$$ .

What is the result of $$-2\text{√}{3} \times 4\text{√}{18}$$ ?

The result is $$-24\text{√}{6}$$ .

How do you multiply $$\text{√}{4x^2} \times \text{√}{6x^6}$$ ?

The result is $$2x^4\text{√}{6}$$ .

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

The simplified form is $$a$$ , assuming $$a \text{ is non-negative}$$ .

What is the value of $$\text{√}{x^2}$$ ?

The value is $$|x|$$ , which is the absolute value of $$x$$ .

What does it mean to rationalize the denominator?

Rationalizing the denominator means to eliminate any radicals in the denominator of a fraction.

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

The simplified form is $$5\text{√}{2}$$ .

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Math

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Rationalizing Radicals

Operations On Radicals

Operations on Radicals

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Mathematics

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9th Grade

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Hard

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What is a radical?

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How do you multiply two radicals?

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What is the product property of radicals?

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What is the quotient property of radicals?

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