Question

Answer please !!!!!!!!! :)

Answer 1

The answer is
`3^(7)√(3)` ⇒ answer (d)

Explanation:

* How to simplify the square root

- The square is even root ⇒ because 2 is an even number

- We can'f find square root for negative number,

- we can change the square root by rational exponent 1/2

* Lets look to our problem

- We have √(3^15)

- That means √(3^14 × 3)

- Lets change the square root to √3 to (3)^1/2

∵
`\sqrt{3^(15)}=\sqrt{3^(14)(3)}=(3^(14))^{(1)/(2)}(3)^{(1)/(2)}`

∵ 14 × 1/2 = 7

∵ 3^1/2 = √3

∴
`3^(7)(3^{(1)/(2)})=3^(7)√(3)`

∴ The answer is (d)