a A palm tree casts a 19 foot shadow. A beach umbrella in the sand next to the palm tree casts a 6.5 foot shadow. If the umbrell
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Answer: 7√2
Step-by-step explanation: To simplify a square root where the number inside the radical is not a perfect square like the square root of 98, we start by making a factor tree for the number inside.
98 factors as 2 · 49 and if you know your perfect squares,
you should be able to recognize 49 as 7 · 7.
What we are looking for in our factor tree
are pairs of factors that are the same.
If a factor pairs up, it will come out of the radical.
If a factor does not pair up, then it stays inside the radical.
So here, since our 7's pair up, a 7 will come out of the radical.
Since the 2 does not pair up, it stays inside the radical.
So our answer is 7√2.
