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Simplify the square root in the denominator.

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Here are the solutions to the mathematics questions:

4. Simplify 1032\frac{10}{\sqrt{32}}

Step 1: Simplify the square root in the denominator.

32=16×2=16×2=42\sqrt{32} = \sqrt{16 \times 2} = \sqrt{16} \times \sqrt{2} = 4\sqrt{2}

Step 2: Substitute the simplified square root back into the expression.

1042\frac{10}{4\sqrt{2}}

Step 3: Rationalize the denominator by multiplying the numerator and denominator by 2\sqrt{2}.

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