Question

Which expression simplifies to 4 √13

√208

√17

√29

√52

Answer 1

`√(208)`

Explanation:

Getting this answer can simply be achieved by process of elimination. I started dividing
`√(208)` by numbers that I knew had perfect squares, and eventually I found 16.

`√(208)`

/\

`√(16)`
`√(13)`

`4√(13)`

As you can see above once I got 16 and 13, I found the square root of 16, which was four, and I checked to see if I could find the square root of 13 as well, but unlike 16 it doe snot have a perfect square.

Answer 2

√208

Explanation:

Step 1: Convert 4 to √

4² = 16

4 = √16

Step 2: Multiply radicals

√16(√13) = √208