Question

Which expressions are listed in the simplest form? Check all that apply.

a) ( 5 √3b )

b) ( 221/1 )

c) ( XV^8 )

d) ( 5/12c^2 )

Answer 1

Expressions a), b), and d) are in simplest form. Expression c) requires clarification, as it could be a variable expression or involve a typo with Roman numerals.

Step-by-step explanation:

The question asks which expressions are listed in simplest form. Simplest form means that an expression is presented in the most reduced or straightforward version possible. Here are the evaluations of the given expressions:

• a) ( 5 √3b ) is already in simplest form as it involves a coefficient and a square root, both of which are in their reduced states.
• b) ( 221/1 ) is also in simplest form, as it is a ratio that reduces to a whole number, 221.
• c) ( XV^8 ) could be a typo or could indicate a variable raised to a power. Assuming 'X' represents a variable and not the Roman numeral for 10, this expression would be considered in simplest form if 'V' represents a variable. However, if 'X' is meant to be 10 and 'V' is meant to be 5, the expression does not seem to make sense and needs clarification.
• d) ( 5/12c^2 ) is in simplest form since the fraction and the exponent are both in their most reduced states.