Question

solving with squared and cubed
name:
find the positive value of x.

1. $x^2 = 4$ 2) $x^2 = 9$ 3) $x^3 = 125$
2. $x^2 = 144$ 5) $x^2 = 49$ 6) $x^3 = 64$
3. $x^2 = 81$ 8) $x^2 = 25$ 9) $x^3 = 1$
4. $x^3 = 1,000$ 11) $x^3 = 8$ 12) $x^3 = 512$
5. $x^2 = 64$ 14) $x^3 = 343$ 15) $x^3 = 216$
6. $x^2 = 121$ 17) $x^2 = 100$ 18) $x^3 = 729$
7. $x^2 = 36$ 20) $x^2 = 16$ 21) $x^3 = 27$

Explanation:

Step1: Take positive square root

For equations of the form $x^2 = a$, $x = \sqrt{a}$

Step2: Take positive cube root

For equations of the form $x^3 = a$, $x = \sqrt[3]{a}$

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Answer:

1. $x = \sqrt{4} = 2$
2. $x = \sqrt{9} = 3$
3. $x = \sqrt[3]{125} = 5$
4. $x = \sqrt{144} = 12$
5. $x = \sqrt{49} = 7$
6. $x = \sqrt[3]{64} = 4$
7. $x = \sqrt{81} = 9$
8. $x = \sqrt{25} = 5$
9. $x = \sqrt[3]{1} = 1$
10. $x = \sqrt[3]{1000} = 10$
11. $x = \sqrt[3]{8} = 2$
12. $x = \sqrt[3]{512} = 8$
13. $x = \sqrt{64} = 8$
14. $x = \sqrt[3]{343} = 7$
15. $x = \sqrt[3]{216} = 6$
16. $x = \sqrt{121} = 11$
17. $x = \sqrt{100} = 10$
18. $x = \sqrt[3]{729} = 9$
19. $x = \sqrt{36} = 6$
20. $x = \sqrt{16} = 4$
21. $x = \sqrt[3]{27} = 3$