Question

true or flase (root y+5)is not a polynomial as the index y is 1\2
$( \sqrt{y + 5)}$
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Answer 1

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Answer 2

SOLUTION

TO CHECK

The below statement is True or False

$\displaystyle \sf{ \sqrt{y + 5} \: \: is \: not \: a \: polynomal \: as \: the \: index \: of \: y \: is \: \frac{1}{2} }$

CONCEPT TO BE IMPLEMENTED

POLYNOMIAL

Polynomial is a mathematical expression consisting of variables, constants that can be combined using mathematical operations addition, subtraction, multiplication and whole number exponentiation of variables

DEGREE OF A POLYNOMIAL

Degree of a polynomial is defined as the highest power of its variable that appears with nonzero coefficient

When a polynomial has more than one variable, we need to find the degree by adding the exponents of each variable in each term.

EVALUATION

Here the given expression is

$\sf{ \sqrt{y + 5} }$

Since the above algebraic expression has not the whole number exponentiation of variables

$\displaystyle \sf{ \therefore \: \: \sqrt{y + 5} \: \: is \: not \: a \: polynomal \: as \: the \: index \: of \: y \: is \: \frac{1}{2} }$

Hence the given statement is TRUE

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