Question

Which expressions are equivalent to select three option. HURRY PLZ

Answer 1

Answer:C D E

Explanation:

Just did the test

Answer 2

`\sqrt{2^(2) } * \sqrt{2^(2) } * √(2) * √(5) * √(7) * \sqrt{y^(2) } * √(y)`

`2*2*y√(2*5*7*y)`

`4y√(70y)`

Explanation:

To find the expressions that are equivalent to

`\sqrt{1,120y^(3) }`

let's simplify each of the options given to know if we would arrive at

`\sqrt{1,120y^(3) }`

Option 1:

`√(2*2*2*2*5*7*y*y)`

`√((2*2*2)*(2*5)*(7)*(y*y))`

`\sqrt{8*10*7*y^(2) }`

`\sqrt{560y^(2) }`

Not equivalent to the given expression.

Option 2:

`\sqrt{2^(2) } * \sqrt{2^(2) } * \sqrt{2^(2) } * \sqrt{5^(2) } * \sqrt{7^(2) } * \sqrt{y^(2) } * \sqrt{y^(2) }`

`2 * 2 * 2 * 5 * 7 * y * y`

`8*5*7*y*y`

`280y^(2)`

Not equivalent to the given expression.

Option 3:

`\sqrt{2^(2) } * \sqrt{2^(2) } * √(2) * √(5) * √(7) * \sqrt{y^(2) } * √(y)`

`2 * 2 * √(2) * √(5) * √(7) * y * √(y)`

`2 * 2 * y * √(2) * √(5) * √(7) * √(y)`

`4y * √(2 * 5 * 7 * y)`

`\sqrt{16y^(2) } * √(70y)`

`\sqrt{16 * y^(2) * 70 * y }`

`\sqrt{16 * 70 * y^(2) * y }`

`\sqrt{1,120y^(3) }`

This option is equivalent.

Option 4:

`2*2*y√(2*5*7*y)`

`4y√(70y)`

`\sqrt{16y^(2) } * √(70y)`

`\sqrt{16 * y^(2) * 70 * y }`

`\sqrt{1,120y^(3) }`

This option is equivalent to the given expression.

Option 5:

`4y√(70y)`

`\sqrt{16y^(2) } * √(70y)`

`\sqrt{16y^(2) * 70 * y}`

`\sqrt{16 * 70 * y^(2) * y}`

`\sqrt{1,120y^(3) }`

Equivalent!

Options 3, 4 and 5 are the 3 expressions equivalent to

`\sqrt{1,120y^(3) }`