Evaluate square root of 6* square root of 5

Problem

√(,6)⋅√(,5)

Solution

1. Identify the property of radicals for multiplication, which states that √(,a)⋅√(,b)=√(,a⋅b) for non-negative real numbers.

2. Apply the property by placing both radicands under a single square root symbol.

√(,6⋅5)

3. Multiply the numbers inside the radical.

√(,30)

4. Check for simplification by looking for perfect square factors of 30 (1, 4, 9, 16, 25). Since 30 has no perfect square factors other than 1, the expression is in simplest form.

Final Answer

√(,6)⋅√(,5)=√(,30)

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