What is the square root of 50 simplified?

Mathematics

2 answers:

GarryVolchara [31]3 years ago

8 0

Rewrite 5050 as 52⋅252⋅2.Tap for fewer steps...Factor 2525 out of 5050.√25(2)252Rewrite 2525 as 5252.√52⋅252⋅2Pull terms out from under the radical.5√252The result can be shown in both exact and decimal forms.Exact Form:5√252Decimal Form:7.07106781…

Anna11 [10]3 years ago

3 0

Answer: $\sqrt[5]{2}$

Step-by-step explanation: To simplify the square root of 50, let’s first start by setting up a factor tree and put 50 at the top of it. Two branches can comes down from 50 and we would have 2 on the left and 25 on the right because 25 x 2 = 50. Next, we can have two branches coming down from 25 and we would have a pair of 5’s because 5 multiplied by 5 will give us 25. Since we have a pair of 5’s in our factor tree, this means that a 5 can go outside of the radical. On the other hand, the 2 in our factor tree does not pair up with anything else so this means that it can go inside the radical. Therefore, our final answer is $\sqrt[5]{2}$ .

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