SOLUTION: Is the squ rt of x (squared) = x an identity (true for all values of x)?
Explain
Algebra.Com
Question 43127This question is from textbook College Algebra with Modeling and Visualization
: Is the squ rt of x (squared) = x an identity (true for all values of x)?
Explain
This question is from textbook College Algebra with Modeling and Visualization
Answer by fractalier(6550) (Show Source): You can put this solution on YOUR website!
It depends, actually. On most standardized tests, for example, the square root of a number is always expected to be positive, called the principal root...that is
√25 = 5
but you know that every number has two square roots, a positive and a negative one...
Thus under these terms, your proposition is an identity for all x ≥ 0.
But in truth, it is an identity, since squaring a number and taking its square root are intrinsically inverse operations...
RELATED QUESTIONS
Is the square root of x squared =x an identity (true for all values of x)?... (answered by josmiceli)
Is the square root of x^2 an identity (true for all values of x)?... (answered by mathman409)
Is (√x)^2=x an identity (true for all values of x)? Please... (answered by wuwei96815,jcmtnez)
Is sqrt (x^2) = x an identity (true for all values of x)?
Explain your... (answered by stanbon)
Is sqrt of x^2 an identity (true for all values of x?) explain your... (answered by rmromero)
is the suare root of x^2 = x an identity (true for all values of x)... (answered by jim_thompson5910)
is sqrtx^2 an identity (true for all values of x?) explain your... (answered by rmromero)
Is the (sqrt of x^2) = x ......an identity true for all values of... (answered by ikdeep)
2) Is sqrt x^2 = x an identity (true for all values of x)? Explain answer... (answered by venugopalramana)