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what is the exact value of the expression sqrt4y^8 + sqrty^2 - 2sqrty^2 + sqrty^8? simplify is possible
5y^4 + 3y
7y^4
3y^4 + 4y
7y^6

Question

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what is the exact value of the expression sqrt4y^8 + sqrty^2 - 2sqrty^2 + sqrty^8? simplify is possible
5y^4 + 3y
7y^4
3y^4 + 4y
7y^6

rajee_sam · Answer

Do you know how to take √ of numbers and √ of exponents?

anonymous · Answer

no.

rajee_sam · Answer

now consider the first term$$\sqrt{4y ^{8}}$$

rajee_sam · Answer

Now this can split as $$\sqrt{4} .\sqrt{y ^{8}}$$

anonymous · Answer

ok

rajee_sam · Answer

now what is √ 4 ?

anonymous · Answer

2

rajee_sam · Answer

good. Now for taking the sqrt of exponents.

Note: You have keep the exponents in even nos. 
now you have y^8 so leave it like that. if you have y^3 split it as y^2.y

Now we have y^8. Taking the √ of exponents is just dividing the exponent by 2, meaning dividing 8/2 and writing y with the new exponent.

so $$\sqrt{y ^{8}} = y ^{4}$$

anonymous · Answer

ok

rajee_sam · Answer

so now you first term reduced to $$2y ^{4}$$

rajee_sam · Answer

Now can you do the second one. you have √ y² . what will be the sqrt of this?

rajee_sam · Answer

divide the power by 2 and write the letter with the new exponent.

rajee_sam · Answer

should not take this much time

rajee_sam · Answer

gtg can't wait the whole day for you to answer