Find the product of √30 and 6√10. Express it in standard form (i.e., a√b. Enter the product of the coefficients followed by the product of the numbers under the square roots separated by a comma. How I solve for it 1*30=30 and 36*10=360 so my is answer is 1,30,36,10

To find the product of √30 and 6√10, we multiply the coefficients and multiply the numbers under the square roots.

Coefficient: 1 * 6 = 6
Numbers under the square roots: 30 * 10 = 300

Therefore, the product of √30 and 6√10, expressed in standard form, is 6√300 or 6√(100 * 3) or 6 * 10√3.

So the answer is 6, 100, 10, 3.

To find the product of √30 and 6√10 and express it in standard form, you can follow these steps:

Step 1: Multiply the coefficients (numbers outside the square roots):
6 * 1 = 6

Step 2: Multiply the numbers inside the square roots:
√30 * √10 = √(30 * 10) = √300

Step 3: Simplify the square root if possible:
√300 = √(100 * 3) = √100 * √3 = 10√3

Step 4: Express the answer in standard form (a√b):
The product of √30 and 6√10 is therefore 6 * 10√3, which can be simplified to 60√3.

Thus, the answer in standard form is 60,3.

√30 * 6√10

= √3* √10 * 6√10
= √100 * 6*√(3)
= 60√3

√30 × 6√10 = 6√300 = 60√3