WORKSHEET ON Nth ROOTS

Problem 1 :

Simplify :

4√(x4)

Problem 2 :

Simplify :

5√(x10)

Problem 3 :

Simplify :

3√(x4)

Problem 4 :

Simplify :

4√(81x8y4)

Problem 5 :

Simplify :

√32 + √200

Problem 6 :

Simplify the following expression, if b > o.

√(25b) - √(b3)

tutoring.png

Answers

1. Answer :

4√(x4) = x

2. Answer :

5√(x10) = 5√[(x2)5]

= x2

3. Answer :

3√(x4) = 3√(x3x)

3√(x3) ⋅ √x

3√(x3⋅ 3√x

= x(3√x)

4. Answer :

4√(81x8y4) = 4√81 ⋅ 4√x⋅ 4√y4

4√(34⋅ 4√(x2)⋅ 4√y4

= 3x⋅ |y|

= 3x2y

5. Answer :

√32 + √200 = √(16 ⋅ 2) + √(100 ⋅ 2)

= √16 ⋅ √2 + √100 ⋅ √2

= 4√2 + 10√2

= (4 + 10)√2

= 14√2

6. Answer :

√(25b) - √(b3) = √25√b - √(b⋅ b)

= √25√b - √(b2)√b

= √25√b - √(b2)√b

= 5√b - b√b

= (5 - b)√b

Kindly mail your feedback to v4formath@gmail.com

We always appreciate your feedback.

©All rights reserved. onlinemath4all.com

Recent Articles

  1. Unit Rates

    Dec 02, 22 04:18 PM

    Unit Rates - Concept - Examples with step by step explanation

    Read More

  2. Adding and Subtracting Fractions Worksheet

    Dec 02, 22 07:27 AM

    Adding and Subtracting Fractions Worksheet

    Read More

  3. Relation between Radian and Degree

    Dec 02, 22 07:16 AM

    Relation between Radian and Degree

    Read More