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Simplify. Remove all perfect squares from inside the square root. sqrt(52x^(4))= ◻

Simplify.\newlineRemove all perfect squares from inside the square root.\newline52x4= \sqrt{52 x^{4}}= \newline□ \square

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Full solution

Q. Simplify.\newlineRemove all perfect squares from inside the square root.\newline52x4= \sqrt{52 x^{4}}= \newline□ \square
  1. Take Square Root: Now, we take the square root of the perfect squares we found. 52x4=22×13×(x2)2\sqrt{52x^4} = \sqrt{2^2 \times 13 \times (x^2)^2}
  2. Pull Out Squares: We can pull out the squares from under the square root. This gives us 2×x2×132 \times x^2 \times \sqrt{13}.
  3. Correct Mistake: But wait, I made a mistake. I forgot to multiply 2×x22 \times x^2. It should be 2x2×132x^2 \times \sqrt{13}.

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