Question

1. select the correct translation of $4x - \sqrt{2y}$

four times x minus the square root of two times y
four times the product of x minus the square root of two times y
four times x plus the cube root of double y
four times x minus the cube root of y

Explanation:

• Analyze each option:
• For the expression \(4x - \sqrt{2y}\), \(4x\) means "four times \(x\)", \(\sqrt{2y}\) means "the square root of two times \(y\)", and the minus sign means "minus".
• The second option's description of "four times the product of \(x\)" is incorrect as \(4x\) is four times \(x\), not four times the product of \(x\) (which would imply \(4\times(x\times something)\)).
• The third option has "plus" (wrong, it's minus) and "cube root" (wrong, it's square root).
• The fourth option has "cube root" (wrong, it's square root) and incorrect description of the second term.
• The first option correctly translates \(4x\) as "four times \(x\)", \(-\) as "minus", and \(\sqrt{2y}\) as "the square root of two times \(y\)".

Answer:

A. Four times x minus the square root of two times y