Special Right Triangles
Adding/Subtracting Radicals
Multiplying Radicals
Rationalizing the Denominator (Monomials)
Rationalizing the Denominator (Binomials)
100
Solve for x.
x=
4sqrt2
100
Simplify: √3 + √3
2√ 3
100
Simplify: √3 x √7
√21
100
3/sqrt5
Simplify.
(3sqrt 5)/5
100
Simplify: 7/(4-√ 3)
(28+7√ 3)/13
200
Solve for x and y
x=8 y=
8sqrt3
200
Simplify: 2√ 5 - 7√ 5
-5√ 5
200
Simplify: (3√ 10)(2√ 5)
30√ 2
200
Simplify:
(\sqrt5)/sqrt7
\sqrt35 / 7
200
Simplify: √ 6/(5+√ 3)
(5√ 6 - 3√ 2) / 22
300
Solve for x and y
x=10 y=20
300
Simplify: √98 - √ 72 + √ 32
5√2
300
Simplify: (5+√ 6)(5 - √ 2)
25 - 5√ 2 + 5√ 6 - 2√ 3
300
Simplify: √ 39 / √ 26
√6/2
300
Simplify: (2+√ 2)/(5 - √ 2)
(12+7√ 2)/23
400
Solve for x.
x=
8sqrt2
400
Simplify: √ 3 + √ 72 - √ 128 + √ 108
7√ 3 - 2√ 2
400
Simplify: (√ 11 - √ 2)2
13 - 2√ 22
400
(4\sqrt 3)/sqrt 6
Simplify:
2\sqrt2
400
Simplify: (-2 - √ 3)/(1 + √ 3)
(-1 - √ 3)/2
500
Solve for v and w.
v=15
w=
10sqrt3
500
Simplify: 5√ 20 + √ 24 - √ 180 + 7√ 54
4√ 5 + 23√ 6
500
Simplify: (√ 3 - √ 5)2
8 - 2√ 15
500
Simplify:
(11\sqrt20)/(10\sqrt5
11/5
500
Simplify: (1 + √ 5)/ (3 - √ 5)
2 + √ 5