Question

43²; (-43)²; √1849; √184900; √18,49; √0,001849 с решением

Answer 1

43 × 43 =1849,
- 43 × (-43) = 1849,
43 × 43 = 1849, значит √1849 = 43,
430 × 430 = 184900, значит √184900 =430, √ 18 =√9*2 = √3² * 2 = 3√2,
7 * 7 = 49, значит √49 = 7,

Answer 2

Let's solve each of the expressions step by step:

1. 43² = 43 * 43 = 1849 So, 43² = 1849

2. (-43)² = (-43) * (-43) = 1849 The square of a negative number is positive, so (-43)² = 1849

3. √1849 = √(43²) = 43 The square root (√) of 1849 is 43, as 43 * 43 = 1849

4. √184900 = √(43² * 100) = 43 * 10 = 430 We can simplify √(184900) to √(43² * 100) and then take the square root of 43², which is 43. Then, the square root of 100 is 10. Therefore, √184900 = 430.

5. √18.49 = √(18.49) = 4.3 The square root of 18.49 is approximately 4.3. This is because 4.3 * 4.3 is approximately equal to 18.49.

6. √0.001849 = √(0.001849) = 0.043 The square root of 0.001849 is approximately 0.043. This is because 0.043 * 0.043 is approximately equal to 0.001849.

So, the solutions are:

1. 43² = 1849
2. (-43)² = 1849
3. √1849 = 43
4. √184900 = 430
5. √18.49 = 4.3
6. √0.001849 = 0.043