The square roots of 4 are 2 and -2, the principal square root of 4 is 2. The 3rd roots of -8 are 1 + i√3, -2 and 1 – i√3, the principal 3rd root of -8 is 1 + i√3 and the real root is -2. The 4th roots of 16 are 2, -2, 2i and -2i, the principal 4th root of 16 is 2.
What is square root 24 simplified?
Square root of 24 in simplest form is 2√6.
Why do we use the principal square root?
It must be restricted to values of x for which the radicand is positive. In the “Real Number System” we cannot take even roots of negative numbers. This would require complex numbers. Therefore we take only the “Principal Root” because under the restricted domain, there is no alternative.
How do you describe principal roots?
Every positive real number has a positive and a negative square root; the positive root is called the principal root. When the square root of a number is a whole number, meaning no non-zero digits to the right of the decimal, then it is known as a perfect square.
What is square root 72 simplified?
Square root of 72 in simplified form is written as 6√2.
