Simplifying Radicals with Fractional Exponents

What is the first step in simplifying expressions involving radicals?

• Find the common denominator

• Multiply the radicals

• Add the exponents directly

• Convert the radicals to exponents

Tags

CCSS.HSN.RN.A.2

What is the result of simplifying the cube root of x squared times the fifth root of x?

• 15th root of x to the 13th

• 13th root of x to the 15th

• 5th root of x to the 2nd

• 3rd root of x to the 5th

How do you simplify the expression when multiplying radicals?

• Multiply the exponents

• Subtract the exponents

• Add the exponents

• Divide the exponents

What is the simplified form of the fourth root of x divided by the sixth root of x to the fifth?

• 7th root of x to the 12th

• 12th root of x to the 7th

• 1 over 12th root of x to the 7th

• 1 over 7th root of x to the 12th

What do you do after converting radicals to exponents in a division problem?

• Multiply the exponents

• Divide the exponents

• Subtract the exponents

• Add the exponents

Tags

CCSS.HSN.RN.A.2

How is a nested radical simplified?

• By adding the exponents

• By subtracting the exponents

• By multiplying the exponents

• By converting to exponents and multiplying

Tags

CCSS.HSN.RN.A.2

What is the simplified form of the fifth root of the square root of x?

• One-tenth root of x

• Square root of x

• Fifth root of x

• Tenth root of x

How do you simplify an expression with multiple radicals being multiplied?

• By finding the least common multiple

• By converting to exponents and adding

• By converting to exponents and subtracting

• By multiplying the exponents

What is the final step in simplifying radicals converted back from exponents?

• Converting to the simplest radical form

• Subtracting the exponents

• Multiplying the exponents

• Adding the exponents

What is the simplified form when you have an exponent inside a radical that is larger than the root?

• Multiply the radical by the exponent

• Convert it to a simpler radical form

• Keep it as an exponent

• Divide the exponent by the radical

Tags

CCSS.HSN.RN.A.2