Show all of your steps for how to simplify 47√×614−−√
. Your final answer should be in simplified radical form (not a decimal). Answers only with no work shown will receive no credit.
To simplify the expression 47√×614−−√, we can follow the steps below:
Step 1: Simplify the first square root.
√47 = 6.8556546004 (rounded to four decimal places)
Step 2: Simplify the second square root.
√614 = 24.7487373415 (rounded to four decimal places)
Step 3: Multiply the simplified square roots.
6.8556546004 * 24.7487373415 = 169.9425263917 (rounded to four decimal places)
Step 4: Rewrite the result as a simplified radical form.
√169.9425263917 = √(169 * 1.9425263917) = √169 * √1.9425263917 = 13 * √1.9425263917
So the final simplified form of the expression 47√×614−−√ is 13√1.9425263917.