Answer:
Step-by-step explanation:
When working with surds we need to take note of the roots present there.
To expand this equation we can do it the following way noting that √3 X √3 = 3
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<em>Expanding (1-√3)(⅓+√3)</em>
1 X 1/3 = 1/3
1 X √3 = √3
-√3 X 1/3 =-√3/3
√3 X √3 = 3
hence, expanding the equation, we have
1/3 + √3 -√3/3 + 3
We can simply group the like terms and add them up.
[1/3 +3] +[√3-√3/3]
10/3 +
=
Answer:
Step-by-step explanation:
2 consecutive integers represented as variables:
x, x + 1
Greater one: x + 1
Lesser one: x
Write as an equation
2(Greater) + 13 = 3(Lesser)
Substitute in known values
2(x + 1) + 13 = 3(x)
Multiply
2x + 2 + 13 = 3x
Subtract 2x from both sides of the equation
2 + 13 = x
Add 2 + 13 to simplify
x = 15
Lesser = x = 15
Greater = x + 1 = 15 + 1 = 16
Hope this helps :)
Here's how the verification would look like
using the identity here
