Question

What is the product of √30 and 6√10, expressed in standard form?

a) (90sqrt{10})

b) (60sqrt{10})

c) (180sqrt{5})

d) (120sqrt{5})

Answer 1

The product of √30 and 6√10, when calculated correctly, is 180√10, which corresponds to option (c) in the given list of possible answers.

Step-by-step explanation:

√30 * 6√10 = (√(3*10) * 6√10)

= √3 * √10 * 6 * √10

= (√3 * √10) * (6 * √10)

= √(3 * 10) * 6 * 10

= √30 * 60

= √3 * √10 * 60

= 3√10 * 60

= 180√10

Therefore, the correct answer in standard form is 180√10, which corresponds to option (c).