2 Tvwo § 3.2 Adding and subt. sq. roots '19 '20

§3.2 Adding and subtracting square roots ...

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Slide 1: Slide

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This lesson contains 10 slides, with interactive quizzes and text slides.

Lesson duration is: 50 min

Items in this lesson

§3.2 Adding and subtracting square roots ...

is on the menu today!

Slide 1 - Slide

Recap: Opposite numbers

Slide 2 - Slide

Adding and subtracting square roots

Adding and subtracting square roots works the same as adding and subtracting like terms:

Slide 3 - Slide

Calculate

\sqrt ​ 3 ​ ​ ​ + \sqrt ​ 3 ​ ​ ​ + \sqrt ​ 3 ​ ​ ​ + \sqrt ​ 3 ​ ​ ​ =

\sqrt ​ 12 ​ ​ ​

\sqrt ​ 81 ​ ​ ​

4 \sqrt ​ 3 ​ ​ ​

3 \sqrt ​ 4 ​ ​ ​

Slide 4 - Quiz

Adding and subtracting square roots

You cannot add up or subtract square roots with a different number under the square root sign. (In the same way you cannot add up different terms)

Slide 5 - Slide

Slide 6 - Slide

Write as short as possible

y = \sqrt ​ x ​ ​ ​ + \sqrt ​ 5 ​ ​ ​ + \sqrt ​ x ​ ​ ​ + \sqrt ​ 7 ​ ​ ​

y = 2 \sqrt ​ x ​ ​ ​ + \sqrt ​ 12 ​ ​ ​

y = 2 \sqrt ​ x ​ ​ ​ + \sqrt ​ 5 ​ ​ ​ + \sqrt ​ 7 ​ ​ ​

y = \sqrt ​ 2 x + 12 ​ ​ ​

y = \sqrt ​ 35 x^{​ 2 ​ ​} ​ ​ ​

Slide 7 - Quiz

Adding and subtracting square roots

Writing expressions with addition and subtraction as short as possible with square roots works the same as with like terms.

Slide 8 - Slide

Write as short as possible

P = 15 \sqrt ​ a ​ ​ ​ + 6 \sqrt ​ b ​ ​ ​ + 5 \sqrt ​ a ​ ​ ​ - 2 \sqrt ​ b ​ ​ ​

P = 20 \sqrt ​ a ​ ​ ​ + 8 \sqrt ​ b ​ ​ ​

P = 24 \sqrt ​ a b ​ ​ ​

P = 20 \sqrt ​ a ​ ​ ​ + 4 \sqrt ​ b ​ ​ ​

cannot be written any shorter

Slide 9 - Quiz

Homework

Make and correct §3.2 (standard or challenge)

Send in pics of your (corrected) work in GC!

Slide 10 - Slide

2 Tvwo § 3.2 Adding and subt. sq. roots '19 '20

Items in this lesson

Slide 1 - Slide

Slide 2 - Slide

Slide 3 - Slide

Slide 4 - Quiz

Slide 5 - Slide

Slide 6 - Slide

Slide 7 - Quiz

Slide 8 - Slide

Slide 9 - Quiz

Slide 10 - Slide

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