Question

√0,64-0,04 √64/81-√1/9 -4√0,81

Answer 1

Ответ: ты не написал корень в первом выражении, я думаю, ты забыл.

Решение:

√0,64-√0,04=√0,8^2-√0,2^2 = 0,8-0,2= 0,6

√64/81-√1/9= √8/9-√1/3= √5/9 или примерно равно 0,5

-4 √0,81= -4 * √0,9= -4*0,9= -3,6.

Answer 2

Let's break down the expression step by step:

1. √0.64 - 0.04

   • √0.64 is the square root of 0.64, which is 0.8.
   • Subtracting 0.04 from 0.8 gives 0.76.

2. √64/81 - √1/9

   • √64/81 is the square root of 64/81, which is (8/9).
   • √1/9 is the square root of 1/9, which is 1/3.
   • Subtracting 1/3 from 8/9 gives (8/9 - 1/3) = (8/9 - 3/9) = 5/9.

3. -4√0.81

   • √0.81 is the square root of 0.81, which is 0.9.
   • Multiplying -4 by 0.9 gives -3.6.

Putting it all together: 0.76 - 5/9 - 3.6

To perform the subtraction of fractions and decimals, let's first convert 0.76 to a fraction with a common denominator of 9:

0.76 = 76/100 = 38/50 = 342/450

Now we can subtract:

342/450 - 5/9 - 3.6

To subtract fractions, they need a common denominator. The least common multiple of 450 and 9 is 450. So, let's convert 5/9 to an equivalent fraction with a denominator of 450:

5/9 = (5/9) * (50/50) = 250/450

Now the expression becomes:

342/450 - 250/450 - 3.6

Subtracting the fractions:

(342 - 250)/450 - 3.6 = 92/450 - 3.6

Now, convert 92/450 to a simplified fraction:

92/450 = 46/225

So, the final result is:

46/225 - 3.6