2TH §4.2 Adding and subtracting Square Roots

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Calculate if possible and without using a calculator

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Entry Ticket

Calculate if possible and without using a calculator

Slide 1 - Diapositive

§4.2 Adding and subtracting square roots ...

is on the menu today!

Slide 2 - Diapositive

Recap: Opposite numbers

Slide 3 - Diapositive

Adding and subtracting square roots

Slide 4 - Diapositive

Adding and subtracting square roots

....... works the same as adding (+) and subtracting (-) like terms:

Slide 5 - Diapositive

Calculate

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

\sqrt ​ 12 ​ ​ ​

\sqrt ​ 81 ​ ​ ​

4 \sqrt ​ 3 ​ ​ ​

3 \sqrt ​ 4 ​ ​ ​

Slide 6 - Quiz

Adding and subtracting square roots

You can only add up (+) and subtract (-) like terms

Slide 7 - Diapositive

Slide 8 - Diapositive

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 9 - Quiz

Adding and subtracting square roots

Writing formulas as short as possible with square roots

works the same as with like terms.

Slide 10 - Diapositive

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 11 - Quiz

Homework

Do §4.2 exercises 10, 11, 12, 13 and 14

Check your answers with the solution book!

Slide 12 - Diapositive

What did you learn today?

Slide 13 - Carte mentale

2TH §4.2 Adding and subtracting Square Roots

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Slide 2 - Diapositive

Slide 3 - Diapositive

Slide 4 - Diapositive

Slide 5 - Diapositive

Slide 6 - Quiz

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Slide 13 - Carte mentale

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