Simplifying Radical Expressions
sqrt(25x^6)
5x^3
9sqrt(3) + 2sqrt(3)
11sqrt(3)
7sqrt(3)*sqrt(3)
21
sqrt(5)(sqrt(2)-3sqrt(5))
sqrt(10)-15
sqrt(75)/sqrt(3)
5
Rationalize the denominator.
sqrt(y)/sqrt(5)
sqrt(5y)/5
root4(16x^16y^20)
2x^4y^5
6sqrt(2)-5root3(2)
Can't subtract.
Indexes are different.
3sqrt(9x^2) * 2sqrt(9y^5)
54xy^2sqrt(y)
(1+4sqrt(10))(2-sqrt(10))
-38+7sqrt(10)
(21sqrt(48))/(7sqrt(2))
6sqrt(6)
Rationalize the denominator.
sqrt(x/(8y))
sqrt(2xy)/(4y)
sqrt(18x^7)
3x^3sqrt(2x)
5root3(xy)+root3(xy)
6root3(xy)
sqrt(xy)*sqrt(4xy)
2xy
(4-2sqrt(3))^2
28-16sqrt(3)
sqrt(54x^5y^3)/sqrt(2x^2y)
3xysqrt(3x)
sqrt(8xy^2)/sqrt(2x^2)
(2ysqrt(x))/x
root3(-16x^12y^5)
-2x^4yroot3(2y^2)
root3(250)-root3(54)
2root3(2)
7sqrt(3y^2)*2sqrt(6x^3y)
42xysqrt(2xy)
Multiply each pair of conjugates.
(1-sqrt(7))(1+sqrt(7))
-6
(sqrt(x^6y^10))/(sqrt(x^4y^7))
xysqrt(y)
3/(2+sqrt(6)
(-6+3sqrt(6))/2
root3(125x^4y^2
5xroot3(xy^2)
3sqrt(32)+2sqrt(50)
22sqrt(2)
4root3(54y^2)*2root3(2x^3y^5)
24xy^2root3(4y)
Multiply each pair on conjugates.
(3sqrt(2)-9)(3sqrt(2)+9)
-63
(3sqrt(27))/(sqrt(20))
(9sqrt(15))/10
(3-sqrt(10))/(sqrt(5)-sqrt(2)
(sqrt(5)-2sqrt(2))/3