Question

2 under root (81)^2.5 solution

Answer 1

Answer:

18

Step-by-step explanation:

18is

Answer 2

$2\sqrt{81^{2.5}}$ = 486

Step-by-step explanation:

We have,

$2\sqrt{81^{2.5}}$

To find, the value of $2\sqrt{81^{2.5}}$ = ?

∴ $2.\sqrt{81^{2.5} }$

$=2.\sqrt{81^{\dfrac{5}{2}}}$

$=2.\sqrt{(9^{2})^{\dfrac{5}{2}}}$

$=2.\sqrt{9^{2\times \dfrac{5}{2}}}$

$=2.\sqrt{(3^2)^5}$

$=2.\sqrt{3^{10}}$

$=2\times {3^{5}$

$=2\times 243$

= 486

Hence, $2\sqrt{81^{2.5}}$ = 486