Find the square root of : 4a2 + 9b2 + c2 - 12ab + 6bc - 4ac(a) (2a + 3

1.	Find the square root of : 4a2 + 9b2 + c2 - 12ab + 6bc - 4ac(a) (2a + 3b - c)(b) (2a - 3b + c)(c) (-2a + 3b + c)(d) (-2a + 3b + c)
Answer» (c) (-2a + 3b + c) 4a² + 9b² + c² - 12ab + 6bc - 4ac = (-2a)² + (3b)² + c² + 2 x (-2a) x 3b + 2 x 3b x c + 2 x (-2a) x c = (-2a + 3b + c)² ∴ Reqd. sq. root = –2a + 3b + c

Find the square root of : 4a2 + 9b2 + c2 - 12ab + 6bc - 4ac(a) (2a + 3b - c)(b) (2a - 3b + c)(c) (-2a + 3b + c)(d) (-2a + 3b + c)

Answer»

(c) (-2a + 3b + c)

4a² + 9b² + c² - 12ab + 6bc - 4ac

= (-2a)² + (3b)² + c² + 2 x (-2a) x 3b + 2 x 3b x c + 2 x (-2a) x c

= (-2a + 3b + c)²

∴ Reqd. sq. root = –2a + 3b + c