Question

What is the following product √30 * √10

2√10

3√10

4√10

10√3

Answer 1

D

Step-by-step explanation:

Answer 2

10√3

Step-by-step explanation:

Let's rewrite the expression. We have:

`√(30) \cdot √(10)`

we can write 30 as
`3\cdot 10`, so we have

`√(3 \cdot 10) \cdot √(10)`

which is equal to

`√(3 \cdot 10 \cdot 10)=√(3 \cdot 100)`

but
`√(100)=10`, so we have

`√(3 \cdot 100)=√(3) √(100)=√(3) \cdot 10=10 √(3)`