Vocabulary
What is the number under the radical symbol called?
Radicand
Simplify.
sqrt50
5sqrt2
Simplify:
5sqrt7+8sqrt7
13sqrt7
Subtract.
sqrt6-6sqrt6
-5sqrt6
5sqrt2(4sqrt5)
20sqrt10
Simplify 2sqrt5*(sqrt6+2)
2sqrt30+4sqrt5
What is the number in the small dent of the radical symbol called?
Index
Simplify.
sqrt(450)
15sqrt2
Simplify:
3sqrt5+4sqrt3+sqrt5
4sqrt5+4sqrt3
Subtract.
7sqrt3-4sqrt3-2sqrt3
sqrt3
-3sqrt3(6sqrt6)
-54sqrt2
Simplify
sqrt(3)*(sqrt6+sqrt10)
3sqrt(2)+sqrt(30)
What is the inverse operation of squaring a number?
Square root
Simplify.
-5sqrt(27)
-15sqrt(3)
Simplify:
5sqrt2+sqrt8
7sqrt2
Subtract.
sqrt(16/4)-sqrt25
-3
\(-3sqrt3)^2
27
Simplify
(sqrt5)(sqrt45+sqrt8)
15+2sqrt10
When can you simplify a radicand?
When it has a perfect square factor.
Simplify.
sqrt(100/49)
10/7
Simplify:
sqrt98+sqrt32
11sqrt2
Subtract.
8sqrt8-sqrt200
6sqrt2
(3sqrt(5))^2
45
Simplify
sqrt6(4sqrt12+5sqrt8)
24sqrt2+20sqrt3
When can you add and subtract radicals?
When the radicals contain the same radicand.
Simplify.
sqrt(48/9)
(4sqrt3)/3
Simplify:
3sqrt75+4sqrt12
23sqrt3
sqrt125-sqrt45-sqrt98-4sqrt8
2sqrt5-15sqrt2
3sqrt6(5sqrt3-sqrt2)
45sqrt2-6sqrt3
Simplify
(4sqrt25)(4sqrt5-3sqrt4)
80sqrt5-120