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#### Online Quiz (WorksheetABCD)

Questions Per Quiz = 2 4 6 8 10

### High School Mathematics6.1 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, Ö(9x)2
= 9x

Example - 2:
Find the square root of 256x2y4z2.
Solution:
Given that, 256x2y4z2,
we can write it as (16xy2z)2
Therefore, Ö((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 361x4.19x319x19x2 Q 2: Find the square root of 1296x6y4.36x4y36x3y236x2y3 Q 3: Find the square root of 625x6.25x225x325x4 Q 4: Find the square root of 225x4.15x215x15x3 Q 5: Find the square root of 43y4z6.2xy3z42xy3z32xyz22xy2z3 Q 6: Find the square root of 25x2.15x5x5x2None of these Question 7: This question is available to subscribers only! Question 8: This question is available to subscribers only!

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