Question

Qual o valor da expressão?

Answer 1

Resposta:

5,366563146.

Explicação passo-a-passo:

5- √2/3 ÷ {[(2/9 + 1 /4) - 1/3] ÷ 6/5} =

√2/3 ÷ {[( 8/36 + 9/36) - 1/3] ÷ 6/5} =

√2/3 ÷ {[17/36 - 1/3] ÷ 6/5} =

√2/3 ÷ {[ 17/36 - 12/36] ÷ 6/5} =

√2/3 ÷ {5/36 ÷ 6/5} =

√2/3 ÷ [5/36 . 5/6] =

√2/3 ÷ 25/216 =

√2/3 . 216/5 =

√432/15 =

√28,8 =

5,366563146

Answer 2

Resposta:

Explicação passo-a-passo:

$5.\sqrt{\frac{2}{3}:[[(\frac{2}{9}+\frac{1}{4})-\frac{1}{3}]:\frac{6}{5}]}$ =

$5.\sqrt{\frac{2}{3}:[[(\frac{4.2+9.1}{36})-\frac{1}{3}]:\frac{6}{5}]}$ =

$5.\sqrt{\frac{2}{3}:[[(\frac{8+9}{36})-\frac{1}{3}]:\frac{6}{5}]}$ =

$5.\sqrt{\frac{2}{3}:[[(\frac{17}{36})-\frac{1}{3}]:\frac{6}{5}]}$ =

$5.\sqrt{\frac{2}{3}:[[(\frac{17-12.1}{36})]:\frac{6}{5}]}$ =

$5.\sqrt{\frac{2}{3}:[[(\frac{5}{36})]:\frac{6}{5}]}$ =

$5.\sqrt{\frac{2}{3}:[\frac{5}{36}.\frac{5}{6}]}$ =

$5.\sqrt{\frac{2}{3}:[\frac{25}{216}]}$ =

$5.\sqrt{\frac{2}{3}.\frac{216}{25}]}$ =

$5.\sqrt{\frac{2.72}{25}}$ =

$5.\sqrt{\frac{144}{25}}$ =

$5.\frac{12}{5}}$ =

$12$