Question

Solve for r. √2/3r + 1 = 23

Answer 1

Answer:

2nd option

Step-by-step explanation:

$\frac{\sqrt{2} }{3}$ r + 1 = 23 ( subtract 1 from both sides )

$\frac{\sqrt{2} }{3}$ r = 22 ( multiply both sides by 3 to clear the fraction )

$\sqrt{2}$ r = 66 ( divide both sides by $\sqrt{2}$ )

r = $\frac{66}{\sqrt{2} }$ × $\frac{\sqrt{2} }{\sqrt{2} }$ ( rationalising the denominator )

r = $\frac{66\sqrt{2} }{2}$ = 33$\sqrt{2}$

Answer 2

Answer:

B) r=33*sqrt(2)

Step-by-step 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)