Question

write the degree of the polynomial root 5​

Answer 1

The degree of √5 is 1/2.

As after removing the root, the number has a power of 1/2.

√5 = (5)½

And degree of a number can be defined as its power.

Answer 2

The degree of the polynomial p(x) = √5 is 0

Given :

The polynomial p(x) = √5

To find :

The degree of the polynomial

Concept :

Degree of a Polynomial :

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

Solution :

Step 1 of 2 :

Write down the given polynomial

The given polynomial is

p(x) = √5

Step 2 of 2 :

Find degree of the polynomial

The given polynomial can be rewritten as

$\displaystyle \sf{ p(x) = \sqrt{5} }$

$\displaystyle \sf{ \implies p(x) = \sqrt{5} \: {x}^{0} }$

Now highest power of its variable that appears with nonzero coefficient is 0

Hence degree of the polynomial p(x) = √5 is 0

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