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Online Quiz (Worksheet A B C D)

Questions Per Quiz = 2 4 6 8 10

High School Mathematics
6.1 Square Root of Monomials - Perfect Squares

Example - 1:
Find the square root of 81x2.
Solution:
Given that 81x2,
we can write this as 9x.9x
i.e. (9x)2
Therefore, (9x)2
= 9x

Example - 2:
Find the square root of 256x2y4z2.
Solution:
Given that, 256x2y4z2,
we can write it as (16xy2z)2
Therefore, ((16xy2z)2)
= 16xy2z.

More examples:
16x2 is a perfect square 16x2 = (4x)2 or (-4x)2
1/36x2 is a perfect square 1/36x2 = (1/6x)2 or (-1/6x)2
21 is not a perfect square There is no rational number k such that k2 = 21
x2 is a perfect square x2 = (x)2 or (-x)2
a4 is a perfect square a4 = (a)2 or ((-a)2)2
a8b6 is a perfect square a8b6 = (a4b3)2 or (-a4b3)2


Directions: Solve the following problems and choose the positive root. Also write at least 10 examples of your own.
Q 1: Find the square root of 625x6.
25x2
25x3
25x4

Q 2: Find the square root of 25x2.
15x
5x
5x2
None of these

Q 3: Find the square root of 16x2y2z4.
4x2yz
4xy2z
4xyz2

Q 4: Find the square root of 1296x6y4.
36x2y3
36x4y
36x3y2

Q 5: Find the square root of 361x4.
19x
19x2
19x3

Q 6: Find the square root of 225x4.
15x
15x3
15x2

Question 7: This question is available to subscribers only!

Question 8: This question is available to subscribers only!


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