Simplifying Radical and Vice Versa

Which expression with a fractional exponent best represents √7 ?

• 7 ^½

• 7¼

• 7⅓

• 2⁷

Write each expression in exponential form. 

• A

• B

• C

• D

What is the value of 27^⅓?

• 27

• 9

• 3

• 1/3

simplify each radical

√x⁵

• x²√x

• √x³•√x²

• x√x

• 4

What do you call the number inside the radical sign

• base

• Radicand

• radicals

• Index

Coverting expression in radical form or vise versa

• 2¹/⁷

• 1²/⁷

• 8¹/²

• 7¹/²

Expression in exponential form 16⁷/³

• ³√7¹⁶

• ³√16⁷

• ⁷√16³

Simplifying radicals by rationalizing

√49/25

• 5/7

• 7/7

• 5/5

• 7/5

In simplest radical form,
√75 is equivalent to

• 25√3

• 25√3

• 5√3

• 3√5

Simplify √18

• 3√2

• 9√2

• 3√9

• 2√3