aguirreoscar200413 aguirreoscar200413
  • 09-11-2018
  • Mathematics
contestada

help me in this
Select all names that apply to the number.
What is the value of x if x2 = 36/81?

A) 2/3

B) 4/9

C) ± 2/3

D) ± 4/9

Respuesta :

MrBillDoesMath MrBillDoesMath
  • 11-11-2018

Hello from MrBillDoesMath!

Answer:    C)


Discussion:

To solve x^2 = 36/81  take the square root of both sides.

x = square root of (36/81)

As 36 = 6*6 and 81 = 9*9,

x = square root of (6*6)/ (9.9) or 6/9  

But 6 and 9 share the common factor "3" so

x =  6/9 = (2*3)/(3*3) = 2/3              

The last equality was gotten by cancelling the common factor 3.

         

Regards, MrB

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