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Radicals
Tests in basic operations with radicals
Adding and subtracting square roots
Adding and subtracting square roots
ans:
syntax error
C
DEL
ANS
±
(
)
÷
×
7
8
9
–
4
5
6
+
1
2
3
=
0
.
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Question 1:
1 pts
Is the following statement true or false?
2
+
3
=
5
\sqrt{2} + \sqrt{3} = \sqrt{5}
2
+
3
=
5
Question 2:
1 pts
Is the following statement true or false?
25
−
9
=
16
\sqrt{25-9} = \sqrt{16}
25
−
9
=
16
Question 3:
1 pts
Is the following statement true or false?
7
3
−
4
3
=
3
3
7\sqrt{3} - 4\sqrt{3} = 3\sqrt{3}
7
3
−
4
3
=
3
3
Question 4:
1 pts
Simplify
2
2
+
3
2\sqrt{2}+\sqrt{3}
2
2
+
3
7
\sqrt{7}
7
12
\sqrt{12}
12
14
\sqrt{14}
14
cannot be simplified
Question 5:
1 pts
Simplify
2
5
−
3
5
2\sqrt{5} - 3\sqrt{5}
2
5
−
3
5
5
\sqrt{5}
5
5
5
5\sqrt{5}
5
5
−
5
-\sqrt{5}
−
5
cannot be simplified
Question 6:
2 pts
Simplify
3
+
12
\sqrt{3} + \sqrt{12}
3
+
12
3
3
3\sqrt{3}
3
3
15
\sqrt{15}
15
5
3
5\sqrt{3}
5
3
cannot be simplified
Question 7:
2 pts
Simplify
50
−
2
8
\sqrt{50} - 2\sqrt{8}
50
−
2
8
−
2
-\sqrt{2}
−
2
−
3
2
-3\sqrt{2}
−
3
2
2
\sqrt{2}
2
cannot be simplified
Question 8:
2 pts
Simplify
2
+
8
+
18
\sqrt{2} + \sqrt{8}+ \sqrt{18}
2
+
8
+
18
12
2
12\sqrt{2}
12
2
6
2
6\sqrt{2}
6
2
4
2
4\sqrt{2}
4
2
cannot be simplified
Question 9:
3 pts
Simplify
3
27
−
12
+
48
3\sqrt{27} - \sqrt{12} + \sqrt{48}
3
27
−
12
+
48
2
12
2\sqrt{12}
2
12
9
12
9\sqrt{12}
9
12
11
3
11\sqrt{3}
11
3
3
\sqrt{3}
3
Question 10:
3 pts
Simplify
2
2
−
8
4
\frac{\sqrt{2}}2 - \frac{\sqrt{8}}4
2
2
−
4
8
0
0
0
1
1
1
2
2
2
3
3
3
Question 11:
3 pts
Simplify
3
8
4
+
2
50
3
−
3
72
4
\frac{3\sqrt{8}}4 + \frac{2\sqrt{50}}3-\frac{3\sqrt{72}}4
4
3
8
+
3
2
50
−
4
3
72
2
2
\frac{\sqrt{2}}2
2
2
2
2
2\sqrt{2}
2
2
3
2
3\sqrt{2}
3
2
2
3
\frac{\sqrt{2}}3
3
2
Question 12:
3 pts
If
x
>
0
x>0
x
>
0
than
2
x
3
+
3
4
x
3
2\sqrt{x^3}+3\sqrt{4x^3}
2
x
3
+
3
4
x
3
8
x
x
8x\sqrt{x}
8
x
x
8
x
3
8\sqrt{x^3}
8
x
3
14
x
x
14x\sqrt{x}
14
x
x
14
x
3
14\sqrt{x^3}
14
x
3
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Pre-algebra
Polynomials
Linear equations
Quadratic equations
Radicals
Exponents and Logarithms
Trigonometry
Algebra 2
Geometry
Solid Figures
Basic operations
Simplifying Radicals
Adding and subtracting square roots
Multiplying square roots
Rationalizing denominator
One radical term
Two or more terms
Radical equations & inequalities
Solving equations
Solving inequalities
