Question - Calculating Cube Root of 16
Solution:
To complete the statement, you need to calculate the cube root of 16 and then determine the numbers that are less than and greater than the obtained value.The cube root of 16, denoted as ∛16, is the number that when multiplied by itself three times gives the product 16. The exact cube root of 16 is not a whole number, but we can approximate it.We know that:∛8 = 2∛27 = 3Since 16 is between 8 and 27, the cube root of 16 must be between 2 and 3.Let's find an approximate value of ∛16. We know 2^3 is 8 and 2.5^3 (which is 2.5 * 2.5 * 2.5) equals 15.625. Since 15.625 is slightly less than 16, and increasing the base number to for example 2.6^3 will give us a number slightly more than 16 (approximately 17.576), we can conclude that ∛16 is slightly greater than 2.5 but less than 2.6.Filling in the blanks knowing ∛16 is greater than 2 and less than 3 would look something like this:2 < ∛16 < 3So, the statement filled out would be:2 < ∛16 < 3
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