How do you simplify $$\text{√50}$$ ?

$$\text{√50} = 5\text{√2}$$ .

How do you simplify $$\text{√45}$$ ?

$$\text{√45} = 3\text{√5}$$ .

How do you simplify $$\text{√112}$$ ?

$$\text{√112} = 4\text{√7}$$ .

What is the square root of 96?

$$\text{The square root of 96 is } 4\text{√6}$$ .

What is a perfect square?

A perfect square is a number that can be expressed as the square of an integer, such as 1, 4, 9, 16, etc.

How do you identify perfect square factors in a radical?

To identify perfect square factors, factor the number under the radical and look for factors that are perfect squares.

What is the simplified form of $$\text{√150}$$ ?

$$\text{√150} = 5\text{√6}$$ .

What is the relationship between radicals and exponents?

Radicals can be expressed as exponents; for example, $$\text{√x} = x^{1/2}$$ .

How do you combine radicals?

You can combine radicals by adding or subtracting them if they have the same radicand (the number under the radical).

simplify radicals Flashcards

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15 questions

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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 (∛).

2.

FLASHCARD QUESTION

Front

What does it mean to simplify a radical?

Back

To simplify a radical means to express it in its simplest form, removing any perfect square factors from under the radical sign.

3.

FLASHCARD QUESTION

Front

What is the square root of 25?

Back

4.

FLASHCARD QUESTION

Front

Back

5.

FLASHCARD QUESTION

Front

What is the prime factorization of 45?

Back

6.

FLASHCARD QUESTION

Front

Back

7.

FLASHCARD QUESTION

Front

What is the square root of 300?

Back

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