Question

Simplify 4√81-8• 5√243+15•5√32+√225

Answer 1

Answer:

$\sqrt[4]{81}-8\times\sqrt[5]{243}+15\times\sqrt[5]{32}+\sqrt{225}=24$

Step-by-step explanation:

Given Expression, $\sqrt[4]{81}-8\times\sqrt[5]{243}+15\times\sqrt[5]{32}+\sqrt{225}$

We have to simplify it.

Consider,

$\sqrt[4]{81}-8\times\sqrt[5]{243}+15\times\sqrt[5]{32}+\sqrt{225}$

value of  $\sqrt[4]{81}$ = 3

value of $\sqrt[5]{243}$ = 3

value of  $\sqrt[5]{32}$ = 2

$\implies3-8\times3+15\times2+15$

$\implies3-24+30+15$

$\implies-21+45$

$\implies24$

Therefore, $\sqrt[4]{81}-8\times\sqrt[5]{243}+15\times\sqrt[5]{32}+\sqrt{225}=24$

Answer 2

Answer: The result of the given simplification is 24.

Step-by-step explanation:

This equation can be solved as follows-

The given simplification problem:

4√81-8• 5√243+15•5√32+√225

This can also be written as:

4√81-8 × 5√243+15 × 5√32+√225

4√81 value is 3 ; 5√243 value is 3 ; 5√32 value is 2 and √225 value is 15

Now this problem can be solved as:

3-8 × 3 + 15 × 2 + 15 which comes to 24

Therefore, the resultant of the given simplification is = 24