Chapter 14, Problem 1VR

To determine

To fill: The blanks for the statement “The positive square root is called the_______ square root.”

Answer to Problem 1VR

Solution:

The blanks for the statement “The positive square root is called the principle square root.”

Explanation of Solution

Given information:

The provided choices are:

Principal, Pythagorean, Radical, Legs, Square, Radicands, Hypotenuse, Conjugates, Root,

Rationalizing

Explanation:

Consider the square roots.

According to the definition, a number b is said to be the square root of the number a if it satisfies the equation $b^2=a$.

All positive numbers possess two square roots, one positive and a negative denoted by the radical symbol, $\sqrt{a}\text{ and }-\sqrt{a}$.

The positive square root is also known as the principle square root.

For example:

Consider the expression $\sqrt{49}$.

Since, $\sqrt{49}=7$.

Thus, the square roots of $\sqrt{49}$ are $7$, where $7$ is called the principle square root of $49$.

Hence, the blanks for the statement “The positive square root is called the principle square root.”