548 Вправа 548Алгебра 8 клас Тарасенкова 2025 · § 13 · стор. 160

548. Обчисліть, скориставшись таблицею квадратів:

1) ${\displaystyle \sqrt{52900}=}$${\displaystyle \sqrt{529\cdot 100}=}$${\displaystyle \sqrt{529}\cdot \sqrt{100}=}$${\displaystyle 23\cdot 10=}$${\displaystyle 230}$;

2) ${\displaystyle \sqrt{168100}=}$${\displaystyle \sqrt{1681\cdot 100}=}$${\displaystyle \sqrt{1681}\cdot \sqrt{100}=}$${\displaystyle 41\cdot 10=}$${\displaystyle 410}$;

3) ${\displaystyle \sqrt{688900}=}$${\displaystyle \sqrt{6889\cdot 100}=}$${\displaystyle \sqrt{6889}\cdot \sqrt{100}=}$${\displaystyle 83\cdot 10=}$${\displaystyle 830}$;

4) ${\displaystyle \sqrt{12250000}=}$${\displaystyle \sqrt{1225\cdot 10000}=}$${\displaystyle \sqrt{1225}\cdot \sqrt{10000}=}$${\displaystyle 35\cdot 100=}$${\displaystyle 3500}$;

5) ${\displaystyle \sqrt{0,0196}=}$${\displaystyle \sqrt{\frac{196}{10000}}=}$${\displaystyle \frac{\sqrt{196}}{\sqrt{10000}}=}$${\displaystyle \frac{14}{100}=}$${\displaystyle 0,14}$;

6) ${\displaystyle \sqrt{1,96}=}$${\displaystyle \sqrt{\frac{196}{100}}=}$${\displaystyle \frac{\sqrt{196}}{\sqrt{100}}=}$${\displaystyle \frac{14}{10}=}$${\displaystyle 1,4}$;

7) ${\displaystyle \sqrt{0,007396}=}$${\displaystyle \sqrt{\frac{7396}{1000000}}=}$${\displaystyle \frac{\sqrt{7396}}{\sqrt{1000000}}=}$${\displaystyle \frac{86}{1000}=}$${\displaystyle 0,086}$;

8) ${\displaystyle \sqrt{0,00000729}=}$${\displaystyle \sqrt{\frac{729}{100000000}}=}$${\displaystyle \frac{\sqrt{729}}{\sqrt{100000000}}=}$${\displaystyle \frac{27}{10000}=}$${\displaystyle 0,0027}$;

9) ${\displaystyle \sqrt{0,005625}=}$${\displaystyle \sqrt{\frac{5625}{1000000}}=}$${\displaystyle \frac{\sqrt{5625}}{\sqrt{1000000}}=}$${\displaystyle \frac{75}{1000}=}$${\displaystyle 0,075}$.