Question

Help with sqrt y = 8sqrt2

Answer 1

Is it \(\sqrt{y} = 8\sqrt{2}\)

Answer 2

@zarkam21

Answer 3

You can begin by squaring both sides.

Answer 4

So we are left with y = 8sqrt2^2

Answer 5

If you square both sides you get
\((\sqrt{y})^2 = (8\sqrt{2})^2\)

Then you have to apply the property \((ab)^2 = a^2b^2\) on the RHS to get
\(y = 8^2(\sqrt{2})^2 \)

Answer 6

Y=128

Answer 7

8^2=64 *2

Answer 8

y does equal 128 but \(8^2 \ne 64*2\)

Answer 9

Squaring stuff often involves throwing away information. So:

\(\sqrt{y} = 8 \sqrt2 = \sqrt{64} \sqrt{2} = \sqrt{64 \times2} = \sqrt{128}\)