Asked by Kinnary Vasoya on May 29, 2024
Verified
Find the principal square root of −25\sqrt { - 25 }−25 , if possible. Do not use a calculator.
A) 5
B) 25,-25
C) -5
D) 5,−5\sqrt { 5 } , - \sqrt { 5 }5,−5
E) no real roots
Principal Square Root
The non-negative square root of a number, denoted as √x for a non-negative number x.
Real Roots
Real roots are the values of the variable that satisfy an equation, where the solutions are real numbers.
Calculator
An electronic or mechanical device used to perform mathematical operations.
- Comprehend the fundamentals of square roots and cube roots, encompassing complex numbers.
Verified Answer
KH
Kumul HooksJun 01, 2024
Final Answer :
E
Explanation :
The principal square root of a negative number is not a real number. Since −25\sqrt{-25}−25 involves the square root of a negative number, it does not have a real root. This is because the square root function is defined only for non-negative numbers in the real number system.
Learning Objectives
- Comprehend the fundamentals of square roots and cube roots, encompassing complex numbers.