Respuesta :
Answer:
[tex]6\sqrt{7}[/tex]
Step-by-step explanation:
If you bring 252 to its prime numbers, its 2, 2, 3, 3, and 7. Just multiply 2 and 3 and you get 6 root 7.
The expression equivalent to the square root of 252 is 6[tex]\sqrt{7}[/tex].
What are prime numbers?
That number which can be divided by itself or 1 only. eg. 2, 3, 5, 7, 11, 13 etc.
Given value,
252
Expressed in prime numbers as:
252 = 2x2x3x3x7 or [tex]2^{2}[/tex] x [tex]3^{2}[/tex] x 7
∴ [tex]\sqrt{252}[/tex] = 2x3 [tex]\sqrt{7}[/tex] = 6 [tex]\sqrt{7}[/tex]
Hence [tex]\sqrt{252}[/tex] can be expressed as 6 [tex]\sqrt{7}[/tex]. Similarly any real number can be represented as the product of prime numbers.
To learn more about prime numbers, refer to the link:
https://brainly.com/question/9315685
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