4.3 simplifying square roots

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Slide 1: Diapositive

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Cette leçon contient 13 diapositives, avec quiz interactifs et diapositives de texte.

La durée de la leçon est: 50 min

Éléments de cette leçon

Slide 1 - Diapositive

Today

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

Slide 2 - Diapositive

The rule

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

Slide 3 - Diapositive

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 4 - Question ouverte

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 5 - Question ouverte

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 6 - Question ouverte

Simplifying fractions by factorising

Let's observe

\sqrt ​ 75 ​ ​ ​

Slide 7 - Diapositive

Simplifying fractions by factorising

Let's observe

also

\sqrt ​ 75 ​ ​ ​

75 = 5 \cdot 15

75 = 3 \cdot 25

Slide 8 - Diapositive

Simplifying fractions by factorising

Let's observe

is this progress?

\sqrt ​ 75 ​ ​ ​

75 = 5 \cdot 15

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

Slide 9 - Diapositive

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 10 - Diapositive

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 11 - Diapositive

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 12 - Question ouverte

Do the things

timer

10:00

Slide 13 - Diapositive

4.3 simplifying square roots

Éléments de cette leçon

Slide 1 - Diapositive

Slide 2 - Diapositive

Slide 3 - Diapositive

Slide 4 - Question ouverte

Slide 5 - Question ouverte

Slide 6 - Question ouverte

Slide 7 - Diapositive

Slide 8 - Diapositive

Slide 9 - Diapositive

Slide 10 - Diapositive

Slide 11 - Diapositive

Slide 12 - Question ouverte

Slide 13 - Diapositive

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