Question

Please help someone...I do not fully understand this???!!!

Answer 1

The answer is LETTER D.
sqrt(64x^10y^19z^12)
Break this down by number and variables.
sqrt(64) = 8
sqrt(x^10) = x^5 because the index of 2 goes into the power of 10 5 times.
sqrt(y^19) = sqrt(y^18*y) = y^9sqrt(y) because 2 goes into 18 9 times and leaves 1 y leftover.
sqrt(z^12) = z^6 because 2 goes into 12 6 times

I hope this breakdown will help.

Answer 2

You need to break up the large square root into smaller square roots

`\sqrt{64x^(10)y^(19)z^(12)}`

`√(64) * \sqrt{x^(10)}* \sqrt{y^(19)} * \sqrt{z^(12)}`

Then we need to simplify the individual radicals

`8*x^(5)*y^(9) √(y) *z^(6)`

Now organize these together to get the radical at the end

`8x^(5)y^(9)z^(6) √(y)`