511° Вправа 511Алгебра 8 клас Тарасенкова 2025 · § 13 · стор. 154

511. Знайдіть усі квадратні корені з числа:

1) ${\displaystyle 4^2=}$${\displaystyle 16}$, ${\displaystyle {(-4)}^2=}$${\displaystyle 16}$; корені: ${\displaystyle 4}$ і ${\displaystyle -4}$;

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

3) ${\displaystyle 7^2=}$${\displaystyle 49}$, ${\displaystyle {(-7)}^2=}$${\displaystyle 49}$; корені: ${\displaystyle 7}$ і ${\displaystyle -7}$;

4) ${\displaystyle {11}^2=}$${\displaystyle 121}$, ${\displaystyle {(-11)}^2=}$${\displaystyle 121}$; корені: ${\displaystyle 11}$ і ${\displaystyle -11}$;

5) ${\displaystyle {13}^2=}$${\displaystyle 169}$, ${\displaystyle {(-13)}^2=}$${\displaystyle 169}$; корені: ${\displaystyle 13}$ і ${\displaystyle -13}$;

6) ${\displaystyle {14}^2=}$${\displaystyle 196}$, ${\displaystyle {(-14)}^2=}$${\displaystyle 196}$; корені: ${\displaystyle 14}$ і ${\displaystyle -14}$;

7) ${\displaystyle {16}^2=}$${\displaystyle 256}$, ${\displaystyle {(-16)}^2=}$${\displaystyle 256}$; корені: ${\displaystyle 16}$ і ${\displaystyle -16}$;

8) ${\displaystyle {20}^2=}$${\displaystyle 400}$, ${\displaystyle {(-20)}^2=}$${\displaystyle 400}$; корені: ${\displaystyle 20}$ і ${\displaystyle -20}$;

9) ${\displaystyle {0,4}^2=}$${\displaystyle 0,16}$, ${\displaystyle {(-0,4)}^2=}$${\displaystyle 0,16}$; корені: ${\displaystyle 0,4}$ і ${\displaystyle -0,4}$;

10) ${\displaystyle {0,5}^2=}$${\displaystyle 0,25}$, ${\displaystyle {(-0,5)}^2=}$${\displaystyle 0,25}$; корені: ${\displaystyle 0,5}$ і ${\displaystyle -0,5}$;

11) ${\displaystyle {0,7}^2=}$${\displaystyle 0,49}$, ${\displaystyle {(-0,7)}^2=}$${\displaystyle 0,49}$; корені: ${\displaystyle 0,7}$ і ${\displaystyle -0,7}$;

12) ${\displaystyle {1,1}^2=}$${\displaystyle 1,21}$, ${\displaystyle {(-1,1)}^2=}$${\displaystyle 1,21}$; корені: ${\displaystyle 1,1}$ і ${\displaystyle -1,1}$;

13) ${\displaystyle {1,3}^2=}$${\displaystyle 1,69}$, ${\displaystyle {(-1,3)}^2=}$${\displaystyle 1,69}$; корені: ${\displaystyle 1,3}$ і ${\displaystyle -1,3}$;

14) ${\displaystyle {1,4}^2=}$${\displaystyle 1,96}$, ${\displaystyle {(-1,4)}^2=}$${\displaystyle 1,96}$; корені: ${\displaystyle 1,4}$ і ${\displaystyle -1,4}$;

15) ${\displaystyle {1,6}^2=}$${\displaystyle 2,56}$, ${\displaystyle {(-1,6)}^2=}$${\displaystyle 2,56}$; корені: ${\displaystyle 1,6}$ і ${\displaystyle -1,6}$;

16) ${\displaystyle {0,2}^2=}$${\displaystyle 0,04}$, ${\displaystyle {(-0,2)}^2=}$${\displaystyle 0,04}$; корені: ${\displaystyle 0,2}$ і ${\displaystyle -0,2}$;

17) ${\displaystyle {\left(\frac{1}{4}\right)}^2=}$${\displaystyle \frac{1}{16}}$, ${\displaystyle {(-\left(\frac{1}{4}\right))}^2=}$${\displaystyle \frac{1}{16}}$; корені: ${\displaystyle \frac{1}{4}}$ і ${\displaystyle -\frac{1}{4}}$;

18) ${\displaystyle {\left(\frac{1}{5}\right)}^2=}$${\displaystyle \frac{1}{25}}$, ${\displaystyle {(-\left(\frac{1}{5}\right))}^2=}$${\displaystyle \frac{1}{25}}$; корені: ${\displaystyle \frac{1}{5}}$ і ${\displaystyle -\frac{1}{5}}$;

19) ${\displaystyle {\left(\frac{1}{7}\right)}^2=}$${\displaystyle \frac{1}{49}}$, ${\displaystyle {(-\left(\frac{1}{7}\right))}^2=}$${\displaystyle \frac{1}{49}}$; корені: ${\displaystyle \frac{1}{7}}$ і ${\displaystyle -\frac{1}{7}}$;

20) ${\displaystyle {\left(\frac{1}{11}\right)}^2=}$${\displaystyle \frac{1}{121}}$, ${\displaystyle {(-\left(\frac{1}{11}\right))}^2=}$${\displaystyle \frac{1}{121}}$; корені: ${\displaystyle \frac{1}{11}}$ і ${\displaystyle -\frac{1}{11}}$;

21) ${\displaystyle {\left(\frac{1}{13}\right)}^2=}$${\displaystyle \frac{1}{169}}$, ${\displaystyle {(-\left(\frac{1}{13}\right))}^2=}$${\displaystyle \frac{1}{169}}$; корені: ${\displaystyle \frac{1}{13}}$ і ${\displaystyle -\frac{1}{13}}$;

22) ${\displaystyle {\left(\frac{1}{14}\right)}^2=}$${\displaystyle \frac{1}{196}}$, ${\displaystyle {(-\left(\frac{1}{14}\right))}^2=}$${\displaystyle \frac{1}{196}}$; корені: ${\displaystyle \frac{1}{14}}$ і ${\displaystyle -\frac{1}{14}}$;

23) ${\displaystyle {\left(\frac{1}{16}\right)}^2=}$${\displaystyle \frac{1}{256}}$, ${\displaystyle {(-\left(\frac{1}{16}\right))}^2=}$${\displaystyle \frac{1}{256}}$; корені: ${\displaystyle \frac{1}{16}}$ і ${\displaystyle -\frac{1}{16}}$;

24) ${\displaystyle {\left(\frac{1}{20}\right)}^2=}$${\displaystyle \frac{1}{400}}$, ${\displaystyle {(-\left(\frac{1}{20}\right))}^2=}$${\displaystyle \frac{1}{400}}$; корені: ${\displaystyle \frac{1}{20}}$ і ${\displaystyle -\frac{1}{20}}$.