512° Вправа 512Алгебра 8 клас Тарасенкова 2025 · § 13 · стор. 155

512. Знайдіть усі квадратні корені з числа:

1) ${\displaystyle 9^2=}$${\displaystyle 81}$, ${\displaystyle {(-9)}^2=}$${\displaystyle 81}$; корені: ${\displaystyle 9}$ і ${\displaystyle -9}$;

2) ${\displaystyle {10}^2=}$${\displaystyle 100}$, ${\displaystyle {(-10)}^2=}$${\displaystyle 100}$; корені: ${\displaystyle 10}$ і ${\displaystyle -10}$;

3) ${\displaystyle {12}^2=}$${\displaystyle 144}$, ${\displaystyle {(-12)}^2=}$${\displaystyle 144}$; корені: ${\displaystyle 12}$ і ${\displaystyle -12}$;

4) ${\displaystyle {15}^2=}$${\displaystyle 225}$, ${\displaystyle {(-15)}^2=}$${\displaystyle 225}$; корені: ${\displaystyle 15}$ і ${\displaystyle -15}$;

5) ${\displaystyle {0,9}^2=}$${\displaystyle 0,81}$, ${\displaystyle {(-0,9)}^2=}$${\displaystyle 0,81}$; корені: ${\displaystyle 0,9}$ і ${\displaystyle -0,9}$;

6) ${\displaystyle {0,1}^2=}$${\displaystyle 0,01}$, ${\displaystyle {(-0,1)}^2=}$${\displaystyle 0,01}$; корені: ${\displaystyle 0,1}$ і ${\displaystyle -0,1}$;

7) ${\displaystyle {1,2}^2=}$${\displaystyle 1,44}$, ${\displaystyle {(-1,2)}^2=}$${\displaystyle 1,44}$; корені: ${\displaystyle 1,2}$ і ${\displaystyle -1,2}$;

8) ${\displaystyle {1,5}^2=}$${\displaystyle 2,25}$, ${\displaystyle {(-1,5)}^2=}$${\displaystyle 2,25}$; корені: ${\displaystyle 1,5}$ і ${\displaystyle -1,5}$;

9) ${\displaystyle {\left(\frac{1}{9}\right)}^2=}$${\displaystyle \frac{1}{81}}$, ${\displaystyle {(-\left(\frac{1}{9}\right))}^2=}$${\displaystyle \frac{1}{81}}$; корені: ${\displaystyle \frac{1}{9}}$ і ${\displaystyle -\frac{1}{9}}$;

10) ${\displaystyle {\left(\frac{1}{10}\right)}^2=}$${\displaystyle \frac{1}{100}}$, ${\displaystyle {(-\left(\frac{1}{10}\right))}^2=}$${\displaystyle \frac{1}{100}}$; корені: ${\displaystyle \frac{1}{10}}$ і ${\displaystyle -\frac{1}{10}}$;

11) ${\displaystyle {\left(\frac{1}{12}\right)}^2=}$${\displaystyle \frac{1}{144}}$, ${\displaystyle {(-\left(\frac{1}{12}\right))}^2=}$${\displaystyle \frac{1}{144}}$; корені: ${\displaystyle \frac{1}{12}}$ і ${\displaystyle -\frac{1}{12}}$;

12) ${\displaystyle {\left(\frac{1}{15}\right)}^2=}$${\displaystyle \frac{1}{225}}$, ${\displaystyle {(-\left(\frac{1}{15}\right))}^2=}$${\displaystyle \frac{1}{225}}$; корені: ${\displaystyle \frac{1}{15}}$ і ${\displaystyle -\frac{1}{15}}$.