Question

Solve for r.

√2/3r + 1 = 23

Answer 1

B) r=33*sqrt(2)

Explanation:

sqrt(2)/3r+1=23

sqrt(2)/3r=23-1

sqrt(2)/3r=22

sqrt(2)r=22*3

sqrt(2)r=66

r=66/sqrt(2)

r=66*sqrt(2)/(sqrt(2)*sqrt(2))

r=(66*sqrt(2)/2

r=33*sqrt(2)

Answer 2

2nd option

Explanation:

`(√(2) )/(3)` r + 1 = 23 ( subtract 1 from both sides )

`(√(2) )/(3)` r = 22 ( multiply both sides by 3 to clear the fraction )

`√(2)` r = 66 ( divide both sides by
`√(2)` )

r =
`(66)/(√(2) )` ×
`(√(2) )/(√(2) )` ( rationalising the denominator )

r =
`(66√(2) )/(2)` = 33
`√(2)`