Question

Referring to exercise 4.14 on page 117, find (√2)^2 for the function.

a) 2
b) 4
c) √2
d) 8

Answer 1

The value of (√2)^2 is 2.

Step-by-step explanation:

The expression (√2)^2 can be simplified by applying the power rule, which states that raising a power to a power results in multiplying the exponents. In this case, since the square root (√) can be expressed as raising to the power of one-half, (√2)^2 is equal to (2^(1/2))^2.

Using the power rule, we multiply the exponents: (2^(1/2))^2 = 2^(1/2 * 2) = 2^1 = 2.

Therefore, the value of (√2)^2 is 2.