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Section 7.1: Finding Square Roots — Practice Questions

  1. 1. The number 23.937 is approximately the square root of a whole number. Find that whole number. ___

  2. 2. Simplify the expression without using a calculator: $(\sqrt{23})^2 = \_\_\_$.

  3. 3. Simplify the expression without using a calculator: $(\sqrt{121})^2 = \_\_\_$.

  4. 4. Simplify the expression without using a calculator: $\sqrt{453^2} = \_\_\_$.

  5. 5. Simplify the expression without using a calculator: $\sqrt{2}\sqrt{2} = \_\_\_$.

  6. 6. Simplify the expression without using a calculator: $(\sqrt{144})^2 = \_\_\_$.

  7. 7. The number 9.220 is approximately the square root of a whole number. Find that whole number. ___

  8. 8. The number 12.961 is approximately the square root of a whole number. Find that whole number. ___

  9. 9. Simplify the expression without using a calculator: $(\sqrt{147})(\sqrt{147}) = \_\_\_$.

  10. 10. Solve the equation for the positive value of $h$: $h^2 = 0.04$. $h = \_\_\_$.