Question

express the length of one side of the square whose area is 64b^16 square units as a monomial

A)8 b^4
B)4 b^4
C)8 b^8
D)none of these

Answer 1

Answer:

8 b^8

Step-by-step explanation:

Area of square field = 64 b^16

one side of square = √ area

one side of square = (64 b^16)^1/2

= √64 * b^16*1/2

= √64 * b^16/2

= 8 * b^8

Answer 2

Given :   A Square whose area   64b¹⁶  sq unit

To Find :  the length of one side of the square

Solution:

Let say Side of Square  = a unit

Area of Square = Side * Side

=> Area of Square = a * a

=> Area of Square =  a²  sq unit

Area of Square =  64b¹⁶  sq unit

Equating both

a²   =  64b¹⁶

=> a²   =   8²  * (b⁸)²

=> a²  = (8b⁸)²

=> a = 8b⁸

the length of one side of the square  = 8b⁸  unit

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