3 √5 multiply 2 √10
To multiply √5 and √10, we can multiply the numbers outside the radical and the numbers inside the radical separately.
√5 * √10 = √(5 * 10)
√(5 * 10) = √50
Now, we need to simplify the square root of 50.
We can break down 50 into its factors: 50 = 25 * 2.
So, √50 = √(25 * 2) = √25 * √2
√(25 * 2) = 5 * √2
Therefore, 3√5 * 2√10 = 6√10 * √5
Multiplying the numbers outside the radicals, we get:
6 * 5 = 30
So, the final answer is 30√10.
To multiply 3√5 with 2√10, you can follow these steps:
Step 1: Multiply the numbers outside the square root signs. In this case, multiply 3 and 2: 3 × 2 = 6.
Step 2: Multiply the numbers inside the square root sign. Multiply √5 and √10: √5 × √10 = √50.
Step 3: Simplify the square root of the product obtained. The square root of 50 can be further simplified as the square root of the largest perfect square factor. In this case, the largest perfect square factor of 50 is 25. So, √50 = √(25 × 2) = √25 × √2 = 5√2.
Therefore, the result is 6 * 5√2, which can be simplified to 30√2.
To multiply the expressions 3√5 and 2√10, you can follow these steps:
Step 1: Multiply the coefficients (the numbers outside the square roots).
3 * 2 = 6
Step 2: Multiply the numbers inside the square roots.
√5 * √10 = √(5 * 10) = √50
Step 3: Simplify the square root if possible.
√50 = √(25 * 2) = √25 * √2 = 5√2
Therefore, the product of 3√5 and 2√10 is 6 * 5√2 = 30√2.