Which among the below option can be a square root of ?
$(x^2 - 14x + 49)(x^2 + 6x + 9)$
Answer & explanation
Correct answer: option 3
( 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)