Question

(\sqrt{16} + |-2|)^{2}

Answer 1

(
16
+
|
−
2
|
)
2

The square root of 16 can be found using the prime factorization method. To find the value, we should know the prime factorization of 16. Thus, the prime factorization of a number 16 is 2×2×2×2. Hence, the square root of 16 is equal to 4.

36

Answer 2

Square root of 16: √16 = 4. The square root of 16 is 4 because 4 multiplied by itself (4 x 4) equals 16.
Absolute value of -2: |-2| = 2. The absolute value of -2 is 2 because it represents the positive magnitude of the number without considering its sign.
Addition: 4 + 2 = 6. Adding the square root of 16 (which is 4) to the absolute value of -2 (which is 2) gives us 6.
Square: 6^2 = 36. Squaring 6 means multiplying it by itself (6 x 6), resulting in 36.
Therefore, the expression (\sqrt{16} + |-2|)^{2} simplifies to 36.