<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:
1) Distribute 1.2 to 6.3 and -7x
2)Combine 3.5 and 7.56
3)Subtract 11.06 from both sides
Step-by-step explanation:
3.5 + 1.2(6.3 - 7x) = 9.38
Distribute 1.2 to 6.3 and -7x
3.5 + 1.2* 6.3 - 1.2 * 7x = 9.38
3.5 + 7.56 - 8.4x = 9.38
Combine 3.5 and 7.56
11.06 - 8.4x = 9.38
Subtract 11.06 from both sides
11.06 - 8.4x -11.06 = 9.38 - 11.06
-8.4x = -1.68
To find solution:
Divide both sides by (-8.4)
-8.4x/-8.4 = -1.68/-8.4
x = 0.02
See the picture attached to better understand the problem
we know that
in the right triangle ABC
cos A=AC/AB
cos A=1/3
so
1/3=AC/AB----->AB=3*AC-----> square----> AB²=9*AC²----> equation 1
applying the Pythagoras Theorem
BC²+AC²=AB²-----> 2²+AC²=AB²---> 4+AC²=AB²----> equation 2
substitute equation 1 in equation 2
4+AC²=9*AC²----> 8*AC²=4----> AC²=1/2----> AC=√2/2
so
AB²=9*AC²----> AB²=9*(√2/2)²----> AB=(3√2)/2
the answer isthe hypotenuse is (3√2)/2
|-11| > |-10|
this is because the absolute value is always a positive number. therefore, it is really 11 > 10.
