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WorksheetsOperations on Radical Expressions
Total questions: 27
Worksheet time: 2hrs 35mins
Name
Class
Date
1.
Add: 2√3 + 3√3
a)
5√6
b)
5√3
c)
6√3
2.
Add: √20 + √45
a)
√65
b)
10√5
c)
5√5
d)
13√5
3.
Subtract: √7 - 3√7
a)
-3√7
b)
-2√7
c)
0
d)
-2
4.
Subtract: 2√18 - 3√8
a)
0
b)
√2
c)
3√2
d)
-4√2
5.
Find the product: (3√6)(2√3)
a)
6√18
b)
18√2
c)
54√2
d)
18
6.
Find the product: (0.5√3)(-4√15)
a)
-2√45
b)
-8√45
c)
-6√5
d)
-10√3
7.
Find the quotient: √200/√5
a)
2√10
b)
5√6
c)
√40
d)
10√10
8.
Find the quotient: (30√120)/(-15√6)
a)
-2√20
b)
-4√5
c)
30√5
d)
-2√2
9.
Simplify: (3√2)²
a)
6√4
b)
12
c)
18
d)
36
10.
Simplify: (1/2√3)²
a)
3/4
b)
3
c)
√3 / 4
d)
9/4
11.
The perimeter of a rectangle is 20√5. If the length of the rectangle is 8√5, find the width.
a)
12√5
b)
4√5
c)
6√5
d)
2√5
12.
The area of a rectangle is 15√6. If the length of the rectangle is 3√2, the width is
a)
12√4
b)
18√8
c)
5√3
d)
12√3
13.
√5 + √20
a)
5
b)
25
c)
3√5
d)
2√3
14.
√18 - √12
a)
√6
b)
3√2-2√3
c)
2√2
d)
3√2
15.
Simplify
3√2 - 3√18
3√2 - 3√18
a)
-4√8
b)
4√9-6√3
c)
5√12
d)
-6√2
16.
The number under the radical sign or square root sign is called the ______.
a)
radical sign
b)
radicand
c)
factor
d)
exponent
17.
Simplify 4√75
a)
4√5
b)
12√5
c)
20√3
d)
7√3
18.
Simplify: √121p5r7s4?
a)
11prs √pr
b)
11p4r6s2 √pr
c)
11p2r3s2 √pr
d)
s11p2r3s2
19.
√45x⁴y⁷
a)
3x²y³√5
b)
9x²y³√5y
c)
3x²y³√5y
d)
3x⁴y⁷
20.
Perform the operation. Express your answer in simplest form.
a)
16√5 - 9√2
b)
98
c)
62
d)
98-24√10
21.
Simplify the expression:
√30
√30
a)
√30
b)
3√5
c)
6√5
d)
3√6
22.
Simplify the expression:
3√8 ∕ √3
3√8 ∕ √3
a)
2√6
b)
√24
c)
√8
d)
3√24 / 3
23.
√8 - 6√2
a)
-4√2
b)
2√2
c)
-6√6
d)
-6√10
24.
(1+4√10)(2−√10)
a)
48
b)
-38 + 7√10
c)
-8 + 7√10
d)
-46
25.
(7 − √2)(5 + √3)
a)
35 + 7√3 − 5√2 − √6
b)
29 + 7√3 − 5√2
c)
35 +√10 − √7 −√6
d)
√50
26.
Simplify : √72 + √18
Examine the image for 72 and 18's square roots. Complete the boxes with missing factors, then simplify each square root. Add simplified terms to finish the phrase. Select the letter for the correct final simplified expression from the possibilities.
a)
2√6
b)
3√6
c)
9√2
d)
2√9
27.
Multiply: √7 x √3
a)
√10
b)
√21
c)
2√10
d)
2√21
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