Adding and Subtracting Square Roots Lesson

3 Slides • 4 Questions

1

Adding and Subtracting Square Roots

Unit 1

2

Square Root Review

Definition : The square root of a positive number is the number when multiplied by itself, equals to the given number.

Examples:

\sqrt{4}=\sqrt{2\times2}=2

\sqrt{9}=\sqrt{3x3}=3

3

Adding and Subtracting Square Roots

Rules
1. You can only add and subtract roots of the same number. $\sqrt{2}+\sqrt{2}\ is\ ok\ \ \ \ \ \ \ \ \ \ \sqrt{2}+\sqrt{3}\ is\ not\ ok$

2. You add and subtract the amount in front of the square root.

3\sqrt{5}+4\sqrt{5}=7\sqrt{5}

3. If there is no number in front of a square root, that counts as 1 square root.

\sqrt{2}=1\sqrt{2}\ \ \ \ \ so\ \ \ \ \sqrt{2}+4\sqrt{2}=5\sqrt{2}

4

Multiple Choice

$5\sqrt{5}+2\sqrt{5}=?$

1

$7\sqrt{10}$

2

$7\sqrt{5}$

3

$10\sqrt{5}$

4

$7\sqrt{25}$

5

Multiple Choice

$8\sqrt{2}-3\sqrt{2}$

1

$5\sqrt{2}$

2

$5\sqrt{4}$

3

$11\sqrt{2}$

6

Multiple Choice

$\sqrt{7}+7\sqrt{7}-2\sqrt{7}$

1

$5\sqrt{7}$

2

$6\sqrt{7}$

3

$8\sqrt{7}$

4

$9\sqrt{7}$

7

Multiple Choice

$3\sqrt{2}+2\sqrt{3}$

1

$6\sqrt{6}$

2

$5\sqrt{5}$

3

$3\sqrt{2}+2\sqrt{3}$

4

$5\sqrt{2}$

Adding and Subtracting Square Roots

Unit 1

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