Respuesta :
Answer:
I think the answer is 8y^8
Step-by-step explanation:
If you divide 64 by 8, you will get 8. And if you divide 16 by 2, you will get 8. So the answer will be 8y^8.
The square root of [tex]64y^{16}[/tex] is [tex]8y^{4}[/tex] .
What is square root?
The square root of a number is that factor of a number which when multiplied by itself gives the original number. Squares and square roots are special exponents. Consider the number 9. When 3 is multiplied by itself, it gives 9 as the product. This can be written as 3 × 3 or 32. Here, the exponent is 2, and we call it a square. Now when the exponent is 1/2, it refers to the square root of the number. For example, √n = n1/2, where n is a positive integer.
We can use four methods to find the square root of numbers and those methods are as follows:
- Repeated Subtraction Method of Square Root
- Square Root by Prime Factorization Method
- Square Root by Estimation Method
- Square Root by Long Division Method
According to the question
The square root of [tex]64y^{16}[/tex]
= [tex]\sqrt{64y^{16}}[/tex]
= [tex]\sqrt{8*8y^{4*4}}[/tex]
= [tex]\sqrt{8y^{4}*8y^{4}}[/tex]
= [tex]8y^{4}[/tex]
Hence, The square root of [tex]64y^{16}[/tex] is [tex]8y^{4}[/tex] .
To know more about square root here:
https://brainly.com/question/3120622
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