Problem 1 :
Simplify the following expression :
√(64x2) + √(196x2)
Problem 2 :
Simplify the following expression :
√(4x4) - √(16x4)
Problem 3 :
Simplify the following expression :
√(100x2y4) + √(121x2y4)
Problem 4 :
Simplify the following expression :
√(36x4y2)√(25x2y4)
Problem 5 :
Simplify the following expression :
√(36x2y4z6) / √(4x6y4z2)
Problem 1 :
Simplify the following expression :
√(64x2) + √(196x2)
Solution :
√(64x2) = √(8 ⋅ 8 ⋅ x ⋅ x) = 8x
√(196x2) = √(14 ⋅ 14 ⋅ x ⋅ x) = 14x
Then,
√(64x2) + √(196x2) = 8x + 14x
√(64x2) + √(196x2) = 22x
Problem 2 :
Simplify the following expression :
√(4x4) - √(16x4)
Solution :
√(4x4) = √(2 ⋅ 2 ⋅ x2 ⋅ x2) = 2x2
√(16x4) = √(4 ⋅ 4 ⋅ x2 ⋅ x2) = 4x2
Then,
√(4x4) - √(16x4) = 2x2 - 4x2
√(4x4) - √(16x4) = -2x2
Problem 3 :
Simplify the following expression :
√(100x2y4) + √(121x2y4)
Solution :
√(100x2y4) = √(10 ⋅ 10 ⋅ x ⋅ x ⋅ y2 ⋅ y2) = 10xy2
√(121x2y4) = √(11 ⋅ 11 ⋅ x ⋅ x ⋅ y2 ⋅ y2) = 11xy2
Then,
√(100x2y4) + √(121x2y4) = 10xy2 + 11xy2
√(100x2y4) + √(121x2y4) = 21xy2
Problem 4 :
Simplify the following expression :
√(36x4y2)√(25x2y4)
Solution :
√(36x4y2) = √(6 ⋅ 6 ⋅ x2 ⋅ x2 ⋅ y ⋅ y) = 6x2y
√(25x2y4) = √(5 ⋅ 5 ⋅ x ⋅ x ⋅ y2 ⋅ y2) = 5xy2
Then,
√(36x4y2)√(25x2y4) = (6x2y)(5xy2)
√(36x4y2)√(25x2y4) = 30x3y3
Problem 5 :
Simplify the following expression :
√(36x2y4z6) / √(4x6y4z2)
Solution :
√(36x2y4z6) = √(6 ⋅ 6 ⋅ x ⋅ x ⋅ y2 ⋅ y2 ⋅ z3 ⋅ z3) = 6xy2z3
√(4x6y4z2) = √(2 ⋅ 2 ⋅ x3 ⋅ x3 ⋅ y2 ⋅ y2 ⋅ z ⋅ z) = 2x3y2z
Then,
√(36x2y4z6) / √(4x6y4z2) = (6xy2z3) / (2x3y2z)
√(36x2y4z6) / √(4x6y4z2) = 2x1-3y2-2z3-1
√(36x2y4z6) / √(4x6y4z2) = 2x-2y0z2
√(36x2y4z6) / √(4x6y4z2) = 2z2/x2
Apart from the stuff given above, if you need any other stuff in math, please use our google custom search here.
Kindly mail your feedback to v4formath@gmail.com
We always appreciate your feedback.
©All rights reserved. onlinemath4all.com
Apr 26, 24 12:39 PM
Apr 26, 24 01:51 AM
Apr 25, 24 08:40 PM