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Combine the like terms inside the square root.

Biology

ScanSolve AI Answer

Answer

5a85a^8

Step-by-step solution

4 steps

Sam's solution is incorrect. The square root cannot be distributed over a sum.

Here are the correct calculations:

  1. Combine the like terms inside the square root.

    16a16+9a16=(16+9)a16=25a1616a^{16} + 9a^{16} = (16+9)a^{16} = 25a^{16}

  2. Take the square root of the simplified expression.

    25a16\sqrt{25a^{16}}

  3. Apply the square root to both the numerical coefficient and the variable term.

    Remember that xn=xn/2\sqrt{x^n} = x^{n/2}.

    25⋅a16=5⋅a16/2\sqrt{25} \cdot \sqrt{a^{16}} = 5 \cdot a^{16/2}

  4. Simplify the exponent.

    5a85a^8
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