Question

Need help! :(

Simplify the following by rationalizing the denominator.

1) ³√2/3

2) ³√4/27

3) ³√5m³/16n²

With explanation/steps please, thank you! :)​

Answer 1

Answer:

1) ³√2/3 = ³√18/3

2) ³√4/27 = ³√4/3

3) ³√5m³/16n² = m * ³√5n/2n^2

Step-by-step explanation:

Problem 1:

1) ³√2/3

Step 1: Divide and Conquer

³√2 / ³√3

Step 2: Rewrite to make cube roots

³√18 / ³√27

Step 3: Simplify

³√18 / 3

Problem 2:

2) ³√4/27

Step 1: Divide and Conquer

³√4 / ³√27

Step 2: Simplify (I skipped rewriting because we already have perfect square roots)

³√4 / 3

Problem 3:

3) ³√5m³/16n²

Step 1: Divide and Conquer

³√5m³ / 2*8n²

Step 2: Rewrite

³√5m³ / 2*8n²

Step 2: Simplify

m³√5 / 4n^2

Step 3: Simplify further

m³√20n / 4n