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Mastering the Basics of Radicals

Total questions: 13

Worksheet time: 13mins

Name
Class
Date
1.

IMAGES SOURCE: https://cdn1.byjus.com/wp-content/uploads/2018/11/maths/2016/08/06052248/Radical.jpg


ARE YOU READY?

a)

ABSOLUTELY YES!

b)

Maybe? I'm not sure

c)

READY NA SIR! PARA CHRISTMAS VACATION HAHHAHAHA

d)

No :(

2.

SIMPLIFY THE RADICAL ABOVE

a)

 333\sqrt{3} 

b)

27

c)

7

d)

3

3.

SIMPLIFY THE RADICAL ABOVE

a)
b)

2

c)

4

d)

2\sqrt{2}

4.

The sixth root of negative 64 simplifies into ______.

a)

Wait a minute, sir! This expression can no longer be simplified.

b)

2

c)

-2

d)

Wait a minute, sir! This is not a real number.

5.

The third root of negative 216 simplifies into ______.

a)

Wait a minute, sir! This expression can no longer be simplified.

b)

6

c)

-6

d)

Wait a minute, sir! This is not a real number.

6.

SIMPLIFY THE RADICAL BELOW 100x4y6\sqrt{100x^4y^6}  

a)

 10xyxy10xy\sqrt{xy}  

b)

 10x2y310x^2y^3  

c)

 10x3y210x^3y^2  

d)

 10xy2xy10xy^2\sqrt{xy}  

7.

SIMPLIFY THE RADICAL ABOVE

a)
b)
c)
d)

the radical is already in its simplest form

8.

SIMPLIFY
 (4x2+4x+1)12\left(4x^2+4x+1\right)^{\frac{1}{2}} 

a)

2x + 1

b)

2x - 1

c)

 (2x + 1)2x + 1\left(2x\ +\ 1\right)\sqrt{2x\ +\ 1}  

d)

the radical is already in its simplest form

9.

SIMPLIFY
 (125a3+125b3)13\left(125a^3+125b^3\right)^{\frac{1}{3}} 

a)

 5(a+b)(a2ab+b2)5\left(a+b\right)\left(a^2-ab+b^2\right)  

b)

5(a+b)

c)

the radical is already in its simplest form

d)
10.

SIMPLIFY THE RATIONAL EXPRESSION ABOVE

a)

the radical is already in its simplest form

b)

 x7\frac{\sqrt{x}}{7}  

c)

7x

d)

 x7\frac{x}{7}  

11.

SIMPLIFY THE RATIONAL EXPRESSION ABOVE

a)

the radical is already in its simplest form

b)

 x10y8z6\frac{x^{10}}{y^8z^6}  

c)

this is not a real number

d)

 x10z6y8-\frac{x^{10}z^6}{y^8}  

12.

SIMPLIFY THE RATIONAL EXPRESSION BELOW


 50y202y\frac{\sqrt{50y^{20}}}{2y}  

a)

the radical is already in its simplest form

b)

 5y9y5y^9\sqrt{y}  

c)

 5y9(2)2\frac{5y^9\left(\sqrt{2}\right)}{2}  

d)

 y95y2y^9\sqrt{\frac{5y}{2}}  

13.

SIMPLIFY THE RATIONAL EXPRESSION BELOW


 256(x2+2x+1)2\sqrt{\sqrt{256\left(x^2+2x+1\right)^2}}  

a)

the radical is already in its simplest form

b)

 (4x+4)14\left(4x+4\right)^{\frac{1}{4}}  

c)

 4x+4\sqrt{4x+4}  

d)

4x+4