547 Вправа 547Алгебра 8 клас Тарасенкова 2025 · § 13 · стор. 160

547. Обчисліть, скориставшись таблицею квадратів:

1) ${\displaystyle \sqrt{16900}=}$${\displaystyle \sqrt{169\cdot 100}=}$${\displaystyle \sqrt{169}\cdot \sqrt{100}=}$${\displaystyle 13\cdot 10=}$${\displaystyle 130}$;

2) ${\displaystyle \sqrt{409600}=}$${\displaystyle \sqrt{4096\cdot 100}=}$${\displaystyle \sqrt{4096}\cdot \sqrt{100}=}$${\displaystyle 64\cdot 10=}$${\displaystyle 640}$;

3) ${\displaystyle \sqrt{202500}=}$${\displaystyle \sqrt{2025\cdot 100}=}$${\displaystyle \sqrt{2025}\cdot \sqrt{100}=}$${\displaystyle 45\cdot 10=}$${\displaystyle 450}$;

4) ${\displaystyle \sqrt{57600}=}$${\displaystyle \sqrt{576\cdot 100}=}$${\displaystyle \sqrt{576}\cdot \sqrt{100}=}$${\displaystyle 24\cdot 10=}$${\displaystyle 240}$;

5) ${\displaystyle \sqrt{129600}=}$${\displaystyle \sqrt{1296\cdot 100}=}$${\displaystyle \sqrt{1296}\cdot \sqrt{100}=}$${\displaystyle 36\cdot 10=}$${\displaystyle 360}$;

6) ${\displaystyle \sqrt{7840000}=}$${\displaystyle \sqrt{784\cdot 10000}=}$${\displaystyle \sqrt{784}\cdot \sqrt{10000}=}$${\displaystyle 28\cdot 100=}$${\displaystyle 2800}$;

7) ${\displaystyle \sqrt{152100}=}$${\displaystyle \sqrt{1521\cdot 100}=}$${\displaystyle \sqrt{1521}\cdot \sqrt{100}=}$${\displaystyle 39\cdot 10=}$${\displaystyle 390}$;

8) ${\displaystyle \sqrt{56250000}=}$${\displaystyle \sqrt{5625\cdot 10000}=}$${\displaystyle \sqrt{5625}\cdot \sqrt{10000}=}$${\displaystyle 75\cdot 100=}$${\displaystyle 7500}$;

9) ${\displaystyle \sqrt{1,44}=}$${\displaystyle \sqrt{\frac{144}{100}}=}$${\displaystyle \frac{\sqrt{144}}{\sqrt{100}}=}$${\displaystyle \frac{12}{10}=}$${\displaystyle 1,2}$;

10) ${\displaystyle \sqrt{0,0144}=}$${\displaystyle \sqrt{\frac{144}{10000}}=}$${\displaystyle \frac{\sqrt{144}}{\sqrt{10000}}=}$${\displaystyle \frac{12}{100}=}$${\displaystyle 0,12}$;

11) ${\displaystyle \sqrt{0,0441}=}$${\displaystyle \sqrt{\frac{441}{10000}}=}$${\displaystyle \frac{\sqrt{441}}{\sqrt{10000}}=}$${\displaystyle \frac{21}{100}=}$${\displaystyle 0,21}$;

12) ${\displaystyle \sqrt{0,3721}=}$${\displaystyle \sqrt{\frac{3721}{10000}}=}$${\displaystyle \frac{\sqrt{3721}}{\sqrt{10000}}=}$${\displaystyle \frac{61}{100}=}$${\displaystyle 0,61}$;

13) ${\displaystyle \sqrt{0,009604}=}$${\displaystyle \sqrt{\frac{9604}{1000000}}=}$${\displaystyle \frac{\sqrt{9604}}{\sqrt{1000000}}=}$${\displaystyle \frac{98}{1000}=}$${\displaystyle 0,098}$;

14) ${\displaystyle \sqrt{29,16}=}$${\displaystyle \sqrt{\frac{2916}{100}}=}$${\displaystyle \frac{\sqrt{2916}}{\sqrt{100}}=}$${\displaystyle \frac{54}{10}=}$${\displaystyle 5,4}$;

15) ${\displaystyle \sqrt{0,000625}=}$${\displaystyle \sqrt{\frac{625}{1000000}}=}$${\displaystyle \frac{\sqrt{625}}{\sqrt{1000000}}=}$${\displaystyle \frac{25}{1000}=}$${\displaystyle 0,025}$.