Answer:
[tex]\frac{1}{4}[/tex]
Step-by-step explanation:
let the number be x , then
[tex]\sqrt{x}[/tex] = 2x ( square both sides )
x = (2x)² = 4x² ( subtract x from both sides )
4x² - x = 0 ( factor out x from each term )
x(4x - 1) = 0
Equate each factor to zero and solve for x
x = 0
4x - 1 = 0 ⇒ 4x = 1 ⇒ x = [tex]\frac{1}{4}[/tex]
Assuming x > 0 then the number is [tex]\frac{1}{4}[/tex]
As a check
[tex]\sqrt{\frac{1}{4} }[/tex] = [tex]\frac{1}{2}[/tex] and 2 × [tex]\frac{1}{4}[/tex] = [tex]\frac{1}{2}[/tex]
