Question

Sendo x= $2^{8}$ . $5^{2}$ , calcule a raiz quadrada de x .

Answer 1

Vamos lá:

$\sqrt{x} = \sqrt{2^{8} . 5^{2}} \\ = \sqrt{2^{2} .2^{2}. 2^{2}. 2^{2} . 5^{2}} = 2 . 2 . 2 . 2 . 5 = 80$

Espero ter ajudado, qualquer dúvida, contate-me!

Answer 2

 Olá Ausvnia,

$\sqrt{x}=\\\\x^{\frac{1}{2}}=\\\\(2^8\cdot5^2)^{\frac{1}{2}}=\\\\2^{\frac{8}{2}}\cdot5^{\frac{2}{2}}=\\\\2^4\cdot5^1=\\\\16\cdot5=\\\\\boxed{80}$