Answer: Here we answer "What is the square root of 250 (√250) in simplest radical form?" The square root of 250 in its simplest form means to get the number 250 inside the radical √ as low as possible.
Here is how to do that! First, we write the square root of 250 like this:
√250
The largest perfect square of the factors of 250 is 25. We can therefore convert √250 like this:
√25 × 10
Next, we separate the numbers inside the √ as such:
√25 × √10
√25 is a perfect square that equals 5. We can therefore put 5 outside the radical and get the final answer to the square root of 250 in simplest radical form as follows:
5√10
Step-by-step explanation:
Here we answer "What is the square root of 250 (√250) in simplest radical form?" The square root of 250 in its simplest form means to get the number 250 inside the radical √ as low as possible.
Here is how to do that! First we write the square root of 250 like this:
√250
The largest perfect square of the factors of 250 is 25. We can therefore convert √250 like this:
√25 × 10
Next, we separate the numbers inside the √ as such:
√25 × √10
√25 is a perfect square that equals 5. We can therefore put 5 outside the radical and get the final answer to square root of 250 in simplest radical form as follows:
5√10
Answer:
5[tex]\sqrt{10}[/tex]
Step-by-step explanation:
Using the rule of radicals
[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]
Given
[tex]\sqrt{250}[/tex]
= [tex]\sqrt{25(10)}[/tex]
= [tex]\sqrt{25}[/tex] × [tex]\sqrt{10}[/tex]
= 5 × [tex]\sqrt{10}[/tex]
= 5[tex]\sqrt{10}[/tex]
