You randomly draw A marble from a bag, record it’s color, and then replace it. You draw a blue marble 11 out of 50 times. What i
1 answer:
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Answer: ∛(49) / 7
Explanation:
1) Given expression:
![\frac{ \sqrt[3]{7} }{ \sqrt[3]{49} }](https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%5Csqrt%5B3%5D%7B7%7D%20%7D%7B%20%5Csqrt%5B3%5D%7B49%7D%20%7D%20)
2) Notice that 49 = 7².
3) With that in mind, rationalize by multiplying numerator and denominator by ∛7:
![\frac{ \sqrt[3]{7} }{ \sqrt[3]{49} } \frac{ \sqrt[3]{7} }{ \sqrt[3]{7} } = \frac{ \sqrt[]{7^2} }{ \sqrt[3]{7^3} } = \frac{ \sqrt[3]{49} }{7}](https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%5Csqrt%5B3%5D%7B7%7D%20%7D%7B%20%5Csqrt%5B3%5D%7B49%7D%20%7D%20%20%5Cfrac%7B%20%5Csqrt%5B3%5D%7B7%7D%20%7D%7B%20%5Csqrt%5B3%5D%7B7%7D%20%7D%20%3D%20%5Cfrac%7B%20%5Csqrt%5B%5D%7B7%5E2%7D%20%7D%7B%20%5Csqrt%5B3%5D%7B7%5E3%7D%20%7D%20%3D%20%5Cfrac%7B%20%5Csqrt%5B3%5D%7B49%7D%20%7D%7B7%7D%20)
Explanation:
1) Given expression:
2) Notice that 49 = 7².
3) With that in mind, rationalize by multiplying numerator and denominator by ∛7: