Write in simplified radical form. √27x^5y^3

Question

I am having trouble doing this question. Can someone please explain the steps. Thank you!

Answer 1

√(27x⁵y³)

• 27 = 3²·3
• x5 = x⁴·x = (x²)²·x
• y³ = y²·y

 

√(27x⁵y³)

= √3²·3·(x²)²·x·y²·y)

= 3·x²·y√(3xy)