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

• Wiskunde
• Middelbare school
• vwo
• Leerjaar 2

§3.2 Adding and subtracting square roots ...

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Recap: Opposite numbers

Adding and subtracting square roots

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

Calculate

√​3​​​+√​3​​​+√​3​​​+√​3​​​=

1. √​12​​​
2. √​81​​​
3. 4√​3​​​
4. 3√​4​​​

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)

Write as short as possible

y=√​x​​​+√​5​​​+√​x​​​+√​7​​​

1. y=2√​x​​​+√​12​​​
2. y=2√​x​​​+√​5​​​+√​7​​​
3. y=√​2x+12​​​
4. y=√​35x​2​​​​​

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.

Write as short as possible

P=15√​a​​​+6√​b​​​+5√​a​​​−2√​b​​​

1. P=20√​a​​​+8√​b​​​
2. P=24√​ab​​​
3. P=20√​a​​​+4√​b​​​
4. cannot be written any shorter

Homework 

Make and correct §3.2 (standard or challenge)

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