Respuesta :
Answer:
4 · √15
Step-by-step explanation:
First we have to find a perfect squares that are a factor of the number:
16 is a perfect square of 4, and 240 is divisible by 16 so,
√240 ⇒
√16 · 15 ⇒
√4 · 15
Since there is no other perfect square in 15, this will be your final answer:
√4 · 15
After simplification square root of [tex]240[/tex] is equal to [tex]4\sqrt{15}[/tex].
What is square root?
" Square root is defined as the single number produce when the same number multiplied two times."
According to the question,
Given number,
[tex]240[/tex]
Simplify the square root of a given number we get,
[tex]\sqrt{240} \\\\= \sqrt{16 \times 3\times 5}\\ \\= 4\sqrt{15}[/tex]
Hence, after simplification square root of [tex]240[/tex] is equal to [tex]4\sqrt{15}[/tex].
Learn more about square root here
brainly.com/question/3120622
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