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Daniel Math Academy · Grade 8 Math

Estimate Square & Cube Roots

Skill C.3 · Square roots & cube roots · ★★☆ Medium · Quarter 1

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Fill in the two integers, or round as shown.

1. 1
   $\boxed{}<\sqrt[3]{423}<\boxed{}$
2. 2
   $\boxed{}<-\sqrt{101}<\boxed{}$
3. 3
   $\boxed{}<\sqrt{166}<\boxed{}$
4. 4
   Nearest whole number: $\sqrt{175}\approx$ 
5. 5
   Nearest whole number: $\sqrt{186}\approx$ 
6. 6
   $\boxed{}<\sqrt[3]{746}<\boxed{}$
7. 7
   $\boxed{}<\sqrt{7}<\boxed{}$
8. 8
   Nearest whole number: $\sqrt{206}\approx$ 

Daniel Math Academy · Grade 8 Math

Answer Key

C.3 Estimate Square & Cube Roots · ★★☆ Medium

1. 1$7<\sqrt[3]{423}<8$
2. 2$-11<-\sqrt{101}<-10$
3. 3$12<\sqrt{166}<13$
4. 4$13$
5. 5$14$
6. 6$9<\sqrt[3]{746}<10$
7. 7$2<\sqrt{7}<3$
8. 8$14$