Question

What is the product of Seven square root eight times four square root five? Simplify your answer. Twenty eight radical ten Fifty six radical two Fifty six radical ten Two hundred eighty radical four

Answer 1

56
`√(10)`

Explanation:

Using the rule of radicals

`√(a)` ×
`√(b)` ⇔
`√(ab)`

Given

7
`√(8)` × 4
`√(5)`

= 7 × 4 ×
`√(8(5))`

= 28 ×
`√(40)`

= 28 ×
`√(4(10))`

= 28 ×
`√(4)` ×
`√(10)`

= 28 × 2 ×
`√(10)`

= 56
`√(10)`

Answer 2

56√10.

Explanation:

7√8 * 4√5

= 28 √40

= 28 √4√10

= 28 * 2√10

= 56√10.