To multiply these two numbers, we can first simplify each square root:
√5 = √(5) = √(5) × √(1) = √(5) × √(1) = √(5 × 1) = √(5) = √5
Similarly,
√10 = √(10) = √(10) × √(1) = √(10) × √(1) = √(10 × 1) = √(10) = √10
Now, we can multiply these simplified square roots:
√5 × √10 = √(5 × 10) = √(50) = √(25 × 2) = √25 × √2 = 5√2
Therefore, 3√5 × 2√10 = 3 × 2 × √5 × √10 = 6√5√10 = 6√(5 × 10) = 6√50 = 6 × 5√2 = 30√2.
3√5 × 2√10
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