Question

Simplify 5√x 4 4√x3 3√x 2 2√x ​

Answer 1

$\sqrt[5]{x^4\sqrt[4]{x^3\sqrt[3]{x^2\sqrt[2]{x} } } }$ = x

Explanation:

Given question is incorrect. The correct question is $\sqrt[5]{x^4\sqrt[4]{x^3\sqrt[3]{x^2\sqrt[2]{x^2} } } }$  

                                    =$\sqrt[5]{x^4\sqrt[4]{x^3\sqrt[3]{x^2\sqrt[2]{x^2} } } }$

Square root of x² is x,

                                    =$\sqrt[5]{x^4\sqrt[4]{x^3\sqrt[]{x^2\times x } } }$

when the x is multiplied with x² it gives x³

                                    =$\sqrt[5]{x^4\sqrt[4]{x^3\sqrt[]{x^3\ } } }$

the cube root of x³ is x,

                                    =$\sqrt[5]{x^4\sqrt[4]{x^3\times x } } }$

when x is multiplied with x³ it gives $x^4$

                                     =$\sqrt[5]{x^4\sqrt[4]{x^4 } } }$  

the fourth root of $x^4$ is x

                                     = $\sqrt[5]{x^4\times x } } }$

when the x is multiplied with $x^4$ it gives $x^5$

                                      = $\sqrt[5]{x^5 } } }$

the fifth root of $x^5$ is x

                                     = x  

$\sqrt[5]{x^4\sqrt[4]{x^3\sqrt[3]{x^2\sqrt[2]{x^2} } } }$        = x

To learn more...

1. https://brainly.in/question/3790793

2. https://brainly.in/question/11826700

Answer 2

Answer:

This sum in solved in attached picture, Please refer the same.

Regards,

Rishit Thakral

Explanation: