Evaluate quantity the square root of 36 times 3 squared minus the cube root of negative 64 end quantity divided by 2 squared.
2 answers:
Answer: 58/4
Step-by-step explanation:
![\cfrac{\sqrt{36}\cdot 3^2-\sqrt[3]{-64}}{2^2}\implies \cfrac{\sqrt{6^2}\cdot 3^2-\sqrt[3]{(-4)^3}}{2^2}\implies \cfrac{6\cdot 3^2-(-4)}{2^2} \\\\\\ \cfrac{6\cdot 9-(-4)}{4}\implies \cfrac{54-(-4)}{4}\implies \cfrac{54+4}{4}\implies \cfrac{58}{4}](https://tex.z-dn.net/?f=%5Ccfrac%7B%5Csqrt%7B36%7D%5Ccdot%203%5E2-%5Csqrt%5B3%5D%7B-64%7D%7D%7B2%5E2%7D%5Cimplies%20%5Ccfrac%7B%5Csqrt%7B6%5E2%7D%5Ccdot%203%5E2-%5Csqrt%5B3%5D%7B%28-4%29%5E3%7D%7D%7B2%5E2%7D%5Cimplies%20%5Ccfrac%7B6%5Ccdot%203%5E2-%28-4%29%7D%7B2%5E2%7D%20%5C%5C%5C%5C%5C%5C%20%5Ccfrac%7B6%5Ccdot%209-%28-4%29%7D%7B4%7D%5Cimplies%20%5Ccfrac%7B54-%28-4%29%7D%7B4%7D%5Cimplies%20%5Ccfrac%7B54%2B4%7D%7B4%7D%5Cimplies%20%5Ccfrac%7B58%7D%7B4%7D)
notice, PEMDAS
groups first, then Exponents, then Multiplication and Division from left-to-right, then Addition and Subtraction from left-to-right last.
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