Question - Finding the Nearest Integer to a Cube Root
Solution:
The expression presented in the image is the cube root of 976, denoted as $$ \sqrt[3]{976} $$. To find which integer is closest to this value, you would generally have to evaluate this cube root.You know that:$$2^3 = 8$$, $$3^3 = 27$$, $$4^3 = 64$$, $$5^3 = 125$$, $$6^3 = 216$$, $$7^3 = 343$$, $$8^3 = 512$$, $$9^3 = 729$$, $$10^3 = 1000$$.Since 976 is between $$9^3 = 729$$ and $$10^3 = 1000$$, the cube root of 976 will be between 9 and 10. Because 976 is closer to $$9^3 = 729$$ than to $$10^3 = 1000$$, the integer closest to $$ \sqrt[3]{976} $$ is 9.
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