Home
Class 10
MATHS
Which of the following is equal to root3...

Which of the following is equal to `root3 (sqrt(xy^2)+x^2y)`

A

`x^(-5//3) y^(-1//3)`

B

`x^(-1//3) y^(-5//3)`

C

`x^(5//3) y^(1//3)`

D

`x^(1//3) y^(5//3)`

Text Solution

Verified by Experts

Promotional Banner

Similar Questions

Explore conceptually related problems

Which one of the following is the least? sqrt(3),root(3)(2),sqrt(2) and root(3)(4)

Assuming that x, y, z are positive real numbers, simplify each of the following . (i) sqrt(x^(3)y^(-2)) (ii) (x^(-2//3) y^(-1//2))^(2) (iii) ((x^(-4))/(y^(-10)))^((5)/(4)) (iv) (root4(81 x^(8)y^(8)z^(16))) div (root3(27x^(3)y^(6)z^(9))) (v) root5(x^(4) root4(x^(3)root3(x^(2)sqrt(x)))) (vi) ((sqrt(x))^(-(2)/(3)) sqrt(y^(4))) div (sqrt(xy^(-(1)/(2))) sqrt(x^(-2)y^(3)))

Which one of the following is correct? The real number root3(2+sqrt(5))+root3(2-sqrt(5)) is :

root3(xy^2) ÷ sqrt(x^2y) = ??

Which of the following options is not the asymptote of the curve 3x^(3)+2x^(2)y-7xy^(2)+2y^(3)-14xy+7y^(2)+4x+5y=0

Assuming that x,y,z are positive real numbers,simplify each of the following: (sqrt(x^(-3)))^(5) (ii) (sqrt(x))^(-(2)/(3))sqrt(y^(4))-:sqrt(xy^(-(1)/(2)))

Assuming that x,y are positive real numbers, simplify each of the following: sqrt(x^(-2)y^(3))(ii)(x^(-2)*y^(-(1)/(2)))^(2)(sqrt(x^(-3)))^(5)( iv) sqrt((x))^(-(2)/(3))sqrt(y^(4))+sqrt(xy^(-(1)/(2)))root(3)(xy^(2))-:x^(2)y(vi)root(3)(x^(2))

Which of the following expressions are exactly equal in value ? 1. ( 3x - y) ^(2) - ( 5x ^(2) - 2xy) 2. (2x - y ) ^(2) 3. (2x pm y ) ^(2) - 2 xy 4. (2x +3y ) ^(2) - 2 xy