Question

Which equation is a method to calculate the product of the expression shown? (√2)(√2)

(This is an example of an EOC item)
○ (√²)(√₂) = 2¹
○ (√₂)(√²) = 24 (4)
0 (√²)(√₂) = 4++
(√²)(√2) = 4+ (4)

Answer 1

Answer: (√²)(√₂) = 2¹

Explanation:

`√(2)` can be denoted as
`2^(1/2)`

Since exponents with the same base have the exponent additive property when multiplying,

`2^(1/2)` x
`2^(1/2)` =
`2^{1/2+1/2` =
`2^1`

Therefore, the correct answer is (√²)(√₂) = 2¹

That's it!

Answer 2

`\sf (√(2))(√(2)) = 2^(1)`

Explanation:

The correct equation to calculate the product of the expression
`\sf (√(2))(√(2))` is:

`\sf (√(2))(√(2)) = (√(2))^2 = 2^(2)/(2) = 2^(1)`

Therefore, the correct choice is:

○
`\sf (√(2))(√(2)) = 2^(1)`