Question

A builder needs three pipes of different lengths. The pipes are feet long, feet long, and feet long. How many feet of piping is required in all? (Hint: Try dividing each radicand by 6.)

Answer 1

`98√(6)\ ft`

Explanation:

The complete question is

A builder needs three pipes of different lengths. The pipes are 6√96 feet long, 12√150 feet long, and 2√294 feet long. How many feet of piping is required in all?

we know that

`6√(96)\ ft=6√(16(6)) =6\sqrt{4^(2)(6)}=6(4)√(6) =24√(6)\ ft`

`12√(150)\ ft=12√(25(6)) =12\sqrt{5^(2)(6)}=12(5)√(6) =60√(6)\ ft`

`2√(294)\ ft=2√(49(6)) =2\sqrt{7^(2)(6)}=2(7)√(6) =14√(6)\ ft`

Sum the length of the three pipes

`24√(6)+60√(6)+14√(6)=98√(6)\ ft`