<em><u>Question:</u></em>
Is square root of 1.6875 a rational number ?
<em><u>Answer:</u></em>
Square root of 1.6875 a rational number is not a rational number
<em><u>Solution:</u></em>
Given that we have to find square root of 1.6875 and determine if it is rational number or not
Let us first find square root of 1.6875

Let us understand about rational number
A rational number is a number that can be expressed as a fraction (ratio) in the form
where p and q are integers and q is not zero.
When a rational number fraction is divided to form a decimal value, it becomes a terminating or repeating decimal.
So the number 1.29903810568 is not a rational number
<em><u>In other words we can say,</u></em>
Only the square roots of square numbers are rational. Here 1.6875 is not a perfect square. So it is not rational number
Answer: The height of the building is 6.49 meters.
Step-by-step explanation:
This can be translated to:
"A building projects a 7.5 m shadow, while a tree with a height of 1.6 m projects a shadow of 1.85 m.
Which is the height of the building?"
We can conclude that the ratio between the projected shadow is and the actual height is constant for both objects, this means that if H is the height of the building, we need to have:
(height of the building)/(shadow of the building) = (height of the tree)/(shadow of the tree)
H/7.5m = 1.6m/1.85m
H = (1.6m/1.85m)*7.5m = 6.49m
The height of the building is 6.49 meters.
Sum of two interiors=exterior



