Question

Simply the expression. ±√100/49

a.±10/7

b.±17

c.±5/7

d.±20/7

Answer 1

`\sf a. \pm(10)/(7)`

Explanation:

Given expression:

`\sf \pm \sqrt{(100)/(49)}`

Simplify the Square Root

`\sf \textsf{We can start by simplifying the square root of the fraction }(100)/(49)`

The square root of 100 is 10, and the square root of 49 is 7.

• 
  `\sf √( 100) = 10`

• 
  `\sf √(49) = 7`

Divide the Square Root Values

`\sf \sqrt{(100)/(49)} = (10)/(7)`

Include the Plus/Minus Sign

`\sf \pm (10)/(7)`

`\sf \textsf{ So, the simplified expression is: } a. \pm(10)/(7)`