what is the value of 4×(√2)×4
Answers
Answer:
The value of √4 is +2 only.
It is common knowledge that square and square root are inverse operations. However, there is a catch.
For the sake of better understanding, I chose to look at it from the perspective of a simple polynomial equation.
Let’s look at two cases to see how we could arrive at the result as +2.
Case 1:
a = √4 = +2
The above equation is a linear polynomial equation and hence it has a unique solution. By definition, the √ is a radical root symbol and performs the square root operation of any number with a “unique” result. Hence, the answer is unique and +2 only.
Case 2:
a ² = 4 and that implies, a =+√4, -√4 = +2, -2
The above equation is a quadratic equation and has 2 solutions (roots).
Every positive (real) number has two roots, +√x being the principal square root. When we say square root, we generally refer to the principal square root. Hence, the answer is +2 only.
P.S. This is how I understand it. I hope that helps. All the best for your academic endeavors.
Answer:
Explanation:
4×(√2)×4 =16√2
=22.627