Answer:
Step-by-step explanation:
Given:
To find:
Simplified result of the radical
Solution:
If a value is in square root and it is not a perfect square then we can solve it by finding the answer by factoring down it to smaller factors which are perfect squares and finding the square root of the smaller values
Now
68 can be written as
68 = 2 * 2 * 17
The given is
It can be written as
=
Now
=
.
so given become
∵√2² = 2
∵a*√b=a√b
Answer: The correct option is (A). 464 square units.
Step-by-step explanation: We are given a rectangle inside a regular hexagon in the figure.
We know that each side of a regular hexagon has same measure, so the measure of each side is
a = 18 units.
Therefore, the area of the regular hexagon is given by
Since the rectangle has length and breadth of 21 units and 18 units respectively, so the area of the rectangle is
Thus, the area of the shaded region in the figure will be
Hence, option (A) is correct.