4.3 simplifying square roots

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Slide 1: Slide

WiskundeMiddelbare schoolhavo, vwoLeerjaar 2

This lesson contains 14 slides, with interactive quizzes and text slides.

Lesson duration is: 50 min

Items in this lesson

Slide 1 - Slide

Slide 2 - Slide

Today

I am able to use the rule for multiplying
roots to simplify expressions.

Slide 3 - Slide

The rule

\sqrt ​ a ​ ​ ​ \cdot \sqrt ​ b ​ ​ ​ = \sqrt ​ a \cdot b ​ ​ ​

Slide 4 - Slide

Calculate
You can use a capital v to indicate a square root here.

\sqrt ​ a ​ ​ ​ \cdot \sqrt ​ b ​ ​ ​ = \sqrt ​ a \cdot b ​ ​ ​

\sqrt ​ 12 ​ ​ ​ \cdot \sqrt ​ 3 ​ ​ ​

Slide 5 - Open question

Calculate
You can use a capital v to indicate a square root here.

\sqrt ​ a ​ ​ ​ \cdot \sqrt ​ b ​ ​ ​ = \sqrt ​ a \cdot b ​ ​ ​

\sqrt ​ 15 ​ ​ ​ \cdot 3 \sqrt ​ 3 ​ ​ ​ \cdot \sqrt ​ 5 ​ ​ ​

Slide 6 - Open question

Calculate
You can use a capital v to indicate a square root here.

\sqrt ​ a ​ ​ ​ \cdot \sqrt ​ b ​ ​ ​ = \sqrt ​ a \cdot b ​ ​ ​

(4 \sqrt ​ 3 ​ ​ ​)^{​ 2 ​ ​}

Slide 7 - Open question

Simplifying fractions by factorising

Let's observe

\sqrt ​ 75 ​ ​ ​

Slide 8 - Slide

Simplifying fractions by factorising

Let's observe

also

\sqrt ​ 75 ​ ​ ​

75 = 5 \cdot 15

75 = 3 \cdot 25

Slide 9 - Slide

Simplifying fractions by factorising

Let's observe

is this progress?

\sqrt ​ 75 ​ ​ ​

75 = 5 \cdot 15

\sqrt ​ 75 ​ ​ ​ = \sqrt ​ 5 ​ ​ ​ \cdot \sqrt ​ 15 ​ ​ ​

Slide 10 - Slide

Simplifying fractions by factorising

Let's observe

Is this progress? Why?

\sqrt ​ 75 ​ ​ ​

75 = 3 \cdot 25

\sqrt ​ 75 ​ ​ ​ = \sqrt ​ 3 ​ ​ ​ \cdot \sqrt ​ 25 ​ ​ ​

Slide 11 - Slide

Simplifying fractions by factorising

Let's observe

Is this progress? Why?

Yes, because

\sqrt ​ 75 ​ ​ ​

75 = 3 \cdot 25

\sqrt ​ 75 ​ ​ ​ = \sqrt ​ 3 ​ ​ ​ \cdot \sqrt ​ 25 ​ ​ ​

\sqrt ​ 3 ​ ​ ​ \cdot \sqrt ​ 25 ​ ​ ​ = \sqrt ​ 3 ​ ​ ​ \cdot 5 = 5 \sqrt ​ 3 ​ ​ ​

Slide 12 - Slide

Simplify
You can use a capital v to indicate a square root here.

\sqrt ​ a ​ ​ ​ \cdot \sqrt ​ b ​ ​ ​ = \sqrt ​ a \cdot b ​ ​ ​

\sqrt ​ 200 ​ ​ ​

Slide 13 - Open question

Do the things

40, 41*, 43, 44*, 48, 49*

CH5: PK 2, 4, 8,10 (no calculators, please)

timer

10:00

Slide 14 - Slide

4.3 simplifying square roots

Items in this lesson

Slide 1 - Slide

Slide 2 - Slide

Slide 3 - Slide

Slide 4 - Slide

Slide 5 - Open question

Slide 6 - Open question

Slide 7 - Open question

Slide 8 - Slide

Slide 9 - Slide

Slide 10 - Slide

Slide 11 - Slide

Slide 12 - Slide

Slide 13 - Open question

Slide 14 - Slide

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