Find the product
sqrt 5 times 3sqrt5
To find the product of √5 and 3√5, we can simplify as follows:
First, let's recall that when we multiply two expressions with the same radical, we can combine them by multiplying the coefficients and multiplying the radicals:
√a * √b = √(a * b)
So, applying this rule to our problem:
√5 * 3√5 = 3 * √5 * √5
Next, we have to simplify the expression under the radical:
√5 * √5 = √(5 * 5) = √25 = 5
Now we substitute this value back into our expression:
3 * √5 * √5 = 3 * 5 = 15
Therefore, the product of √5 and 3√5 is 15.
To find the product of √5 and 3√5, we can simplify it by multiplying their coefficients and the square roots of 5.
The coefficient of √5 is 1, and the coefficient of 3√5 is 3. So, multiplying the coefficients gives us:
1 * 3 = 3
Next, we multiply the square roots of 5:
√5 * √5 = 5
Combining the results:
3 * 5 = 15
Therefore, the product of √5 and 3√5 is 15.