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Solve for 
y. Express your answer in simplest radical form if necessary.

32=y^(2)
Answer: 
y=

Solve for y y . Express your answer in simplest radical form if necessary.\newline32=y2 32=y^{2} \newlineAnswer: y= y=

Full solution

Q. Solve for y y . Express your answer in simplest radical form if necessary.\newline32=y2 32=y^{2} \newlineAnswer: y= y=
  1. Find y Value: Now, we need to find the value of yy. To do this, take the square root of both sides of the equation.\newline32=y2\sqrt{32} = \sqrt{y^2}
  2. Simplify Square Roots: Simplify the square root of 3232 and the square root of y2y^2.32=y\sqrt{32} = y32=(16×2)=16×2=42\sqrt{32} = \sqrt{(16 \times 2)} = \sqrt{16} \times \sqrt{2} = 4\sqrt{2}y=42y = 4\sqrt{2}
  3. Consider Both Solutions: But wait, we forgot that when we take the square root of both sides, there should be two solutions: one positive and one negative.\newliney=±42y = \pm 4\sqrt{2}

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