Evaluate 4root square root of 0.784^3 x 23.67/3.479
To evaluate the expression `4√(0.784^3) * 23.67/3.479`, we can break it down step-by-step.
Step 1: Calculate the square root of 0.784^3.
0.784^3 ≈ 0.472253184
Step 2: Take the fourth root of the value obtained in step 1.
4√(0.472253184) ≈ 0.857126264
Step 3: Divide the result from step 2 by 3.479.
0.857126264 / 3.479 ≈ 0.246480971
Step 4: Multiply the value from step 3 by 23.67.
0.246480971 * 23.67 ≈ 5.81975576
Therefore, the value of `4√(0.784^3) * 23.67/3.479` is approximately 5.81975576.
To evaluate this expression step-by-step, we'll follow the order of operations (PEMDAS/BODMAS) which stands for Parentheses/Brackets, Order (exponents and roots), Division and Multiplication, and Addition and Subtraction.
Step 1: Calculate the square root of 0.784.
√0.784 = 0.884
Step 2: Multiply the result from step 1 by itself 3 times.
0.884^3 = 0.698
Step 3: Divide the result from step 2 by 3.479.
0.698 / 3.479 ≈ 0.2004 (rounded to four decimal places)
Step 4: Multiply the result from step 3 by 23.67.
0.2004 x 23.67 ≈ 4.74 (rounded to two decimal places)
Therefore, the evaluation of the expression 4(root(0.784)^3 x 23.67/3.479) is approximately 4.74.