Math Problem Statement

\sqrt{3} times \sqrt{5}

Solution

The expression 3×5\sqrt{3} \times \sqrt{5} can be simplified using the property of square roots that states:

a×b=a×b\sqrt{a} \times \sqrt{b} = \sqrt{a \times b}

So,

3×5=3×5=15\sqrt{3} \times \sqrt{5} = \sqrt{3 \times 5} = \sqrt{15}

Thus, 3×5=15\sqrt{3} \times \sqrt{5} = \sqrt{15}.

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Math Problem Analysis

Mathematical Concepts

Square Roots
Multiplication of Radicals

Formulas

\sqrt{a} \times \sqrt{b} = \sqrt{a \times b}

Theorems

Product Property of Square Roots

Suitable Grade Level

Grades 6-8