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Length of the side = 9 cm
Diagonal = cm
Solution:
Area of the square = 81 square centimeters
In square all sides are equal.
Area of the square = side × side
Side × side = 81
Side² = 9² (∵81 = 9²)
Taking square root on both sides, we get
Side = 9 cm
Length of the side = 9 cm
To find the length of the diagonal:
In square all the angles are right angle.
Diagonal splits the square into two right angle triangle.
Using Pythagoras theorem,
<em>In right triangle, square of the hypotenuse is equal to the sum of the square of the other two sides.</em>
Here, diagonal is the hypotenuse.
Taking square root on both side,
Diagonal = cm
Answer:
Step-by-step explanation:
The expression to transform is:
Let's work first on the inside of the parenthesis.
Recall that the n-root of an expression can be written as a fractional exponent of the expression as follows:
Therefore
Now let's replace with
which is the algebraic form we are given inside the 6th root:
Now use the property that tells us how to proceed when we have "exponent of an exponent":
Therefore we get:
Finally remember that this expression was raised to the power 7, therefore:
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An use again the property for the exponent of a exponent: