Home
Class 9
MATHS
If a,b,c are positive real numbers sqrt(...

If a,b,c are positive real numbers
`sqrt(a^-1b)xxsqrt(b^-1 c)xxsqrt(c^-1 a)` is equal to

A

`sqrt(abc)`

B

1

C

abc

D

`1/(abc)`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • NUMBER SYSTEMS

    MODERN PUBLICATION|Exercise EXERCISE|232 Videos
  • MODEL TEST PAPER 1

    MODERN PUBLICATION|Exercise EXAMPLE|9 Videos
  • POLYNOMIALS

    MODERN PUBLICATION|Exercise EXERCISE|247 Videos

Similar Questions

Explore conceptually related problems

sqrt10xxsqrt15 is equal to

If a,b,c are positive real number, then 5sqrt(3125a^10 b^5 c^10) is equal to

If a,b,c and d are four positive real numbers such that abcd=1 , what is the minimum value of (1+a)(1+b)(1+c)(1+d) .

Let a, b and c be positive real numbers. Then prove that tan^(-1) sqrt((a(a + b + c))/(bc)) + tan^(-1) sqrt((b (a + b + c))/(ca)) + tan^(-1) sqrt((c(a + b+ c))/(ab)) = pi

If a, b, c are positive real numbers such that a + b + c = 1 , then prove that a/(b + c)+b/(c+a) + c/(a+b) >= 3/2

If a,b,c are real numbers such that 3(a^(2)+b^(2)+c^(2)+1)=2(a+b+c+ab+bc+ca) , than a,b,c are in

For any three positive real numbers a , b and c ,9(25 a^2+b^2)+25(c^2-3a c)=15 b(3a+c)dot Then :

Statement 1 If a,b,c are three positive numbers in GP, then ((a+b+c)/(3))((3abc)/(ab+bc+ca))=(abc)^((2)/(3)) . Statement 2 (AM)(HM)=(GM)^(2) is true for positive numbers.

If a, b, c are in HP, then (a-b)/(b-c) is equal to

If a , b , c are non-zero real numbers and if the system of equations (a-1)x=y+z , (b-1)y=z+x , (c-1)z=x+y has a non-trivial solution, then prove that a b+b c+c a=a b c