Perfect Squares
What is the square root of 64?
8
Simplify √12
2√3
Simplify √x5
x2√x
In order to add radicals, which of the following must be true?
(a) The radicals must have the same radical sign
(b) The radicals must have the same radicand
(c) The radicals must have the same number outside the radical sign
(d) Both a and b
d. both a and b
Generally speaking, in order to multiply radicals, which of the following must be true?
(a) The radicals must have the same radical sign
(b) The radicals must have the same radicand
(c) The radicals must have the same number outside the radical sign
(d) Both a and b
a
What is the square root of 25 plus the square root of 144?
17
Simplify √54
3√6
Simplify xy√x3y4
x2y3√x
Add the following radicals: 4√3 + 2√3 + 7√3.
13√3
Multiply the following radicals: √5 x √8. Simplify if necessary.
2√10
What do you get if you multiply the square root of a number by the square root of that same number?
The number (without the radical)
Simplify -3√28
-6√7
Simplify √75x3y4
5xy2√3x
Subtract the following radicals: 6√5 - √125.
√5
Multiply the following radicals: √10 times 3√20
150√2
What is the square root of 196?
14
Simplify the following radical 4√125
20√5
Simplify 4x√160x2y3z
16x2y√10yz
Add the following radicals: √8 + √98 + √72.
15√2
Multiply the following radicals: -3√28a2 times √3a2
-6a2√21
What is the square root of 441?
21
Simplify: √288
12√2
Simplify 2√250x3y4
10x2y2√10x
Add/Subtract the following radicals: 7√18 + 2√25 - 3√72.
10 + 3√2
Multiply the following radicals: 4√6(2√27-√18)
-24√3 + 72√2