Rationalizing the Denominator (1st)

Flashcard

•

Mathematics

•

10th Grade

•

Practice Problem

•

Hard

•

CCSS

HSN.RN.A.2, 8.EE.A.2, 5.NBT.A.2

Standards-aligned

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FLASHCARD QUESTION

Front

What is a rational number?

Back

A rational number is any number that can be expressed as the quotient or fraction of two integers, where the denominator is not zero.

Tags

CCSS.5.NBT.A.2

FLASHCARD QUESTION

Front

What does it mean to rationalize the denominator?

Back

Rationalizing the denominator means to eliminate any square roots or irrational numbers from the denominator of a fraction.

Tags

CCSS.HSN.RN.A.2

FLASHCARD QUESTION

Front

Simplify: $\frac{1}{\frac{1}{\frac{1}{2}}}$

Back

$2$ .

Tags

CCSS.5.NF.B.7A

CCSS.5.NF.B.7C

FLASHCARD QUESTION

Front

What is the square root of 50?

Back

$5\text{√}2$ .

FLASHCARD QUESTION

Front

Rationalize the denominator: $\frac{15\text{√}3}{\text{√}5}$

Back

$3\text{√}15$ .

Tags

CCSS.HSN.RN.A.2

FLASHCARD QUESTION

Front

What is the product of $\text{√}a \times \text{√}b$ ?

Back

$\text{√}(ab)$ .

FLASHCARD QUESTION

Front

What is the square root of 25?

Back

$5$ .

Tags

CCSS.8.EE.A.2

FLASHCARD QUESTION

Front

Rationalize the denominator: $\frac{1}{\text{√}3}$

Back

$\frac{\text{√}3}{3}$ .

FLASHCARD QUESTION

Front

What is the formula for the difference of squares?

Back

$a^2 - b^2 = (a - b)(a + b)$ .

Tags

CCSS.HSA.APR.C.4

10.

FLASHCARD QUESTION

Front

Simplify: $\text{√}(x^2)$

Back

$|x|$ .

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