Question

medal and fan awarded

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

Answer 1

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

Answer 2

no.

Answer 3

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

Answer 4

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

Answer 5

ok

Answer 6

now what is √ 4 ?

Answer 7

2

Answer 8

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 \[\sqrt{y ^{8}} = y ^{4}\]

Answer 9

ok

Answer 10

so now you first term reduced to \[2y ^{4}\]

Answer 11

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

Answer 12

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

Answer 13

should not take this much time

Answer 14

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