Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

Which among the below option can be a square root of ?

$(x^2 - 14x + 49)(x^2 + 6x + 9)$

Options:

(x + 4)(x + 9)

(x - 1)(x + 17)

(x - 7)(x + 3)

(x - 3)(x + 8)

Correct Answer:

(x - 7)(x + 3)

Explanation:

( a + b )2 = a2 + b2 + 2ab

Given, $(x^2 - 14x + 49)(x^2 + 6x + 9)$

= $(x^2 - 14x + 49)$ = (x - 7)2

= $(x^2 + 6x + 9)$ = (x + 3)2

So,

= \(\sqrt {(x - 7)^2 (x + 3)^2}\)

$(x^2 - 14x + 49)(x^2 + 6x + 9)$ can be the square root of = (x - 7)(x + 3)