Subject
Quantitative Aptitude
Topic
Algebra
If a3+ 3a2b + 3ab2+ b3= 3√3, Which one of the following is the value of √(a + b)?
If a3+ 3a2b + 3ab2+ b3= 3√3, Which one of the following is the value of √(a + b)?
ক)
4√3খ)
3গ)
3 √3ঘ)
32Explanation
a 3 + 3a 2 b + 3ab 2 + b 3 =3√3 or,(a + b) 3 = 3 √3 or,a + b = 3 √(3√3) or,a + b =(3√3) 1/3 or,√(a+b)=√{(3√3) 1/3 } =(3√3) 1/(3×2) =(3√3) 1/6 ={(√3) 2 × ×3} 1/6 ={(√3) 3 } 1/6 ={3 1/2 } 1/2 =3 1/4 = 4 √3Related questions
if then what would be the value of ?Multiplication and difference of two numbers are 93 and 28 respectively. Find the difference of reciprocals of the numbers.if , then find the value of In following question, two equations are given, you have to solve them and choose the correct option:
x2– 3x – 4 = 0,
y2– 4 = 0In following question, two equations are given, you have to solve them and chose the correct option:
x2+ 11x + 30 = 0,
y2+ 7y + 12 = 0In the following question, one or two equation(s) is/are given. You have to solve both the equations and find the relation between ‘l’ and ‘m’ and mark correct answer.
I. (125)1/3l – (1331)1/3= 4 × (729)1/6+ (1024)1/10II. (m)2– (15625)1/3= 0Direction: In the following question two equations numbered I and II are given. You have to solve both the equations and give answers:I: x - √121 = 0
II: y2- 121 = 0The number of solutions of x2+ 4|x| + 5 = 0 is