Answer: [tex]\sqrt[7]{2}[/tex]
Step-by-step explanation: In this problem, we are asked to simplify the square root of 98. First notice that 98 is not a perfect square. In other words, it's impossible to find a whole number that can be multiplied by itself which gives us 98.
However, it's important to understand that the square root of 98 can still be simplified.
Notice that 98 factors as 2 × 49 and 49 factors as 7 × 7. Notice that we have a pair of 7's in our factor tree.
This means that a 7 can come out of the radical. Notice that we have a 2 in our factor tree which doesn't pair up so it stays inside the radical.
Therefore, the square root of 98 simplified is [tex]\sqrt[7]{2}[/tex].
