<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.
 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
 
        
             
        
        
        
Complete question :
Image relating to the question can be found in the attachment below :
Answer:
4/9
Step-by-step explanation:
From the picture :
The nine chips are : 1, 2, 3, 4, 5, 6, 7, 8, 9
Even chips = 2, 4, 6, 8
Probability = number of required outcomes / (number of total possible outcomes) 
Probability of drawing a chip with an even number :
P(even number) = number of even chips / total number of chips 
P(even number) = 4 / 9
 
        
             
        
        
        
Answer:
h(x) =  2x²+2
Step-by-step explanation:
Given the function g is defined as follows.
g(x) = 2x²+7
If the graph is translated by 5units vertically downwards, this means that the function will be reduced by 5 units to have;
h(x) =  2x²+7 - 5
h(x) =  2x²+2
 
        
             
        
        
        
The law of cosines states that:
c^2=a^2+b^2-2abcosC
You already have all the values for the variables with the exception of x so:
x^2=25+100-100cos60
x=√(125-100cos60)
x=√75
x≈8.66 to nearest one-hundredth...