# x^{1/2}/√5 + 1 is a polynomial. Is the following statement true or false? Justify your answer

**Solution:**

It is given that

\(\frac{1}{\sqrt{5}}x^{1/2}+1\)

We can write it as

= \(\frac{\sqrt{x}}{\sqrt{5}}+1\)

So we get

= (x/5)^{1/2} + 1

We know that the power of a polynomial is raised to a whole number in a polynomial

Here the variable is raised to a fraction.

Therefore, the statement is false.

**✦ Try This: **If 16x² - b = (4x + 1/2) (4x - 1/2), then the value of b is

It is given that

16x² - b = (4x + 1/2) (4x - 1/2)

Using the algebraic identity a² - b² = (a + b) (a - b)

16x² - b = 16x² - 1/4

Equating from both sides

b = 1/4

Therefore, the value of b is 1/4.

**☛ Also Check: **NCERT Solutions for Class 9 Maths Chapter 2

**NCERT Exemplar Class 9 Maths Exercise 2.2 Sample Problem 1(i)**

## x^{1/2}/√5 + 1 is a polynomial. Is the following statement true or false? Justify your answer

**Summary:**

The standard form of a polynomial refers to writing a polynomial in the descending power of the variable. The statement is false as the variable is raised to fraction

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