If a 1/2 + b 1/2 - c 1/2 = 0, then the value of ( a+ b- c) 2 is: a) 2ab b) 2bc c) 4ab d) 4ac
Answers
Answered by
68
√a+√b-√c=0
or, √a+√b=√c
Squaring both sides,
(√a)²+2√a√b+(√b)²=(√c)²
or, a+b+2√ab=c
or, a+b-c=-2√ab
Again squaring both sides,
(a+b-c)²=(-2√ab)²
or, (a+b-c)²=4ab
∴, The answer is c)4ab
or, √a+√b=√c
Squaring both sides,
(√a)²+2√a√b+(√b)²=(√c)²
or, a+b+2√ab=c
or, a+b-c=-2√ab
Again squaring both sides,
(a+b-c)²=(-2√ab)²
or, (a+b-c)²=4ab
∴, The answer is c)4ab
Answered by
30
√a + √b - √c = 0
√a + √b = √c
Squaring on both sides
a + b + 2√ab = c
a + b - c = -2√ab
Again, squaring on both sides
(a + b - c)² = (-2√ab)²
(a + b - c)² = 4ab
The correct answer is: Option C
√a + √b = √c
Squaring on both sides
a + b + 2√ab = c
a + b - c = -2√ab
Again, squaring on both sides
(a + b - c)² = (-2√ab)²
(a + b - c)² = 4ab
The correct answer is: Option C
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