Simplify $$2\text{√}27 + 8\text{√}3 + 5\text{√}8$$

$$14\text{√}3 + 10\text{√}2$$

How do you simplify $$\text{√}x^2$$ ?

$$|x|$$ (the absolute value of x) because the square root of a square gives the non-negative value.

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 $$\text{√}a^2b$$ ?

$$a\text{√}b$$ (where a is non-negative) because you can take the square root of a squared term.

What is the sum of $$\text{√}2 + \text{√}2$$ ?

$$2\text{√}2$$ (you can add like radicals together).

What is the difference between $$\text{√}a + \text{√}b$$ and $$\text{√}a - \text{√}b$$ ?

The first expression represents the sum of two radicals, while the second represents the difference. They cannot be simplified further unless a and b are the same.

What is the value of $$\text{√}0$$ ?

0 (the square root of zero is zero).

Radicals Flashcard Review

Flashcard

•

Mathematics

•

9th - 12th Grade

•

Practice Problem

•

Hard

•

CCSS

HSN.RN.A.2, 8.EE.A.2, 8.NS.A.1

Standards-aligned

Wayground Content

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15 questions

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FLASHCARD QUESTION

Front

What is a radical in mathematics?

Back

A radical is an expression that includes a root, such as a square root (√) or cube root (∛). It represents the operation of finding a number that, when multiplied by itself a certain number of times, gives the original number.

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