2/7 √14 5/16 * √56
First, simplify the square roots:√14 = 2√7√56 = 2√14
Substitute these values back in:2/7 2√7 5/16 * 2√14
Now, multiply the numbers and square roots separately:(2 2 5)/(7 16) √(7 * 14)
Calculating the numbers:20/112 * √98
Simplify the fraction:5/28 * √98
Finally, simplify the square root:5/28 √(2 49)
5/28 * 7√2
Therefore, the final answer is 35√2 / 28 or simplified to 5√2 / 4.
2/7 √14 5/16 * √56
First, simplify the square roots:
√14 = 2√7
√56 = 2√14
Substitute these values back in:
2/7 2√7 5/16 * 2√14
Now, multiply the numbers and square roots separately:
(2 2 5)/(7 16) √(7 * 14)
Calculating the numbers:
20/112 * √98
Simplify the fraction:
5/28 * √98
Finally, simplify the square root:
5/28 √(2 49)
5/28 * 7√2
Therefore, the final answer is 35√2 / 28 or simplified to 5√2 / 4.