# How do you simplify #sqrt15 * sqrt45#?

Given,

Multiply the second radical by the first radical now that it has been simplified.

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To simplify ( \sqrt{15} \times \sqrt{45} ), you can use the properties of square roots.

- Recognize that ( \sqrt{15} ) and ( \sqrt{45} ) can be expressed as ( \sqrt{15} = \sqrt{3 \times 5} ) and ( \sqrt{45} = \sqrt{3 \times 3 \times 5} ).
- Apply the property ( \sqrt{a} \times \sqrt{b} = \sqrt{ab} ).
- Substitute the expressions under the square roots: ( \sqrt{15} \times \sqrt{45} = \sqrt{(3 \times 5) \times (3 \times 3 \times 5)} ).
- Simplify inside the square root: ( \sqrt{(3 \times 5) \times (3 \times 3 \times 5)} = \sqrt{3^2 \times 5^2} ).
- Apply the property ( \sqrt{a^2} = a ): ( \sqrt{3^2 \times 5^2} = 3 \times 5 ).
- Calculate: ( 3 \times 5 = 15 ).

Therefore, ( \sqrt{15} \times \sqrt{45} = 15 ).

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