What is the definition of a perfect square?

A perfect square is a number that can be expressed as the square of an integer.

What is the relationship between radicals and exponents?

Radicals can be expressed as exponents: $$\sqrt[n]{a} = a^{\frac{1}{n}}$$ .

What is the importance of simplifying radicals?

Simplifying radicals makes calculations easier and helps in solving equations more efficiently.

R.4 Dividing Radicals Practice

Flashcard

•

Mathematics

•

9th - 12th Grade

•

Practice Problem

•

Hard

•

CCSS

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

Standards-aligned

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16 questions

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FLASHCARD QUESTION

Front

What is the simplified form of $\sqrt[]{\frac{9}{16}}$ ?

Back

$\frac{3}{4}$

FLASHCARD QUESTION

Front

How do you rationalize the denominator of $\frac{8}{3\ \sqrt[]{2}}$ ?

Back

$\frac{4\ \sqrt[]{2}}{3}$

Tags

CCSS.HSN.RN.A.2

FLASHCARD QUESTION

Front

What is the simplified form of $\frac{6}{3\ \sqrt[]{6}}$ ?

Back

$\frac{\sqrt[]{6}}{3}$

FLASHCARD QUESTION

Front

What is the simplified form of $\frac{\sqrt[]{15}}{2\ \sqrt[]{6}}$ ?

Back

$\frac{\sqrt[]{10}}{4}$

FLASHCARD QUESTION

Front

How do you simplify $\frac{4}{\sqrt[]{6}}$ ?

Back

$\frac{2\ \sqrt[]{6}}{3}$

FLASHCARD QUESTION

Front

What is the definition of a radical?

Back

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

Tags

CCSS.8.NS.A.1

FLASHCARD QUESTION

Front

What does it mean to rationalize the denominator?

Back

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

Tags

CCSS.HSN.RN.A.2

FLASHCARD QUESTION

Front

What is the square root of a fraction?

Back

The square root of a fraction $\frac{a}{b}$ is $\frac{\sqrt{a}}{\sqrt{b}}$ .

Tags

CCSS.HSN.RN.A.2

FLASHCARD QUESTION

Front

What is the product property of square roots?

Back

The product property states that $\sqrt{a} \cdot \sqrt{b} = \sqrt{a \cdot b}$ .

Tags

CCSS.HSN.RN.A.2

10.

FLASHCARD QUESTION

Front

What is the quotient property of square roots?

Back

The quotient property states that $\frac{\sqrt{a}}{\sqrt{b}} = \sqrt{\frac{a}{b}}$ .

Tags

CCSS.HSN.RN.A.2

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