Question

X sqrt 5xy^4 + sqrt 405x^3y^4-sqrt 80x^3y^4

Answer 1

Answer: b on edge2021 6xy^2sqrt 5x

Step-by-step explanation: its on edge and yeah...like me up pls and thank you!

Answer 2

the three terms can be combined and reduce to:

`6\,x\,y^2\,√(5\,x)`

Explanation:

Start by extracting all perfect square factors from the square root in order to simplify the terms:

First term:
`x\,√(5\,x\,y^4)=x\,y^2\,√(5\,x)`

Second term:
`√(405\,x^3\,y^4) =√(3^4\,\,5\,\,x^2\,\,x\,y^2\,y^2) =9\,x\,y^2\,√(5\,x)`

Third term:
`-√(80\,x^3\,y^4) =-√(2^4\,\,5\,x\,x^2\,y^2\,y^2) =-4\,x\,y^2\,√(5\,x)`

Notice that all of the terms are like terms (contain the same radical part and variable part) so they can be combined:

`\,x\,y^2\,√(5\,x)+9\,x\,y^2\,√(5\,x)-4\,x\,y^2\,√(5\,x)= 6\,x\,y^2\,√(5\,x)`