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Roots and like terms
Simplify
√
3
2
A
2
√
6
B
2
√
4
C
6
√
2
D
4
√
2
1 / 12
volgende
Slide 1:
Quizvraag
Wiskunde
Middelbare school
vwo
Leerjaar 2
In deze les zitten
12 slides
, met
interactieve quizzen
en
tekstslides
.
Lesduur is:
30 min
Start les
Bewaar
Deel
Printen
Onderdelen in deze les
Simplify
√
3
2
A
2
√
6
B
2
√
4
C
6
√
2
D
4
√
2
Slide 1 - Quizvraag
Remember, you can either:
Separate into prime factors:
Find a factor that is a square number:
√
3
2
=
√
2
⋅
√
2
⋅
√
2
⋅
√
2
⋅
√
2
=
(
√
2
)
2
⋅
(
√
2
)
2
⋅
√
2
=
2
⋅
2
⋅
√
2
=
4
√
2
√
3
2
=
√
1
6
⋅
√
2
=
4
√
2
Slide 2 - Tekstslide
Calculate the hypotenuse of this triangle. Simplify your answer. (No calculators)
Slide 3 - Open vraag
5
2
+
(
√
5
0
)
2
=
2
5
+
5
0
=
7
5
√
7
5
=
√
5
⋅
√
5
⋅
√
3
=
(
√
5
)
2
⋅
√
3
=
5
√
3
Slide 4 - Tekstslide
What about this?
a
Can we simplify it?
√
3
+
√
2
Slide 5 - Tekstslide
Nope...
Different
prime
roots must be kept separate, like x's and y's:
<--cannot be simplified
Like
roots can be combined:
2
√
3
+
8
√
5
3
√
5
+
4
√
3
+
2
√
5
−
√
3
=
5
√
5
+
3
√
3
Slide 6 - Tekstslide
Simplify
3
√
5
+
4
√
3
+
2
√
5
−
√
3
2
√
7
+
4
√
1
1
+
2
√
1
1
−
3
√
7
A
6
√
1
1
+
5
√
7
B
6
√
1
1
−
√
7
C
√
1
1
−
6
√
7
D
6
√
7
−
√
1
1
Slide 7 - Quizvraag
(
3
x
y
)
2
=
?
A
3
x
2
y
2
B
3
x
y
2
C
9
x
2
y
2
D
9
x
y
Slide 8 - Quizvraag
Roots work the same way
(
4
√
5
)
2
=
4
2
⋅
(
√
5
)
2
=
1
6
⋅
5
=
8
0
(
a
b
c
)
2
=
a
2
b
2
c
2
Slide 9 - Tekstslide
Find the hypotenuse and simplify your answer.
Slide 10 - Open vraag
(
2
√
3
)
2
+
(
6
√
2
)
2
=
4
⋅
3
+
3
6
⋅
2
=
1
2
+
7
2
=
8
4
√
8
4
=
√
2
⋅
√
2
⋅
√
3
⋅
√
7
=
2
⋅
√
3
⋅
√
7
=
2
√
2
1
Slide 11 - Tekstslide
Slide 12 - Tekstslide
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