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4 years ago

Simplify the radical expression (5+√3)(5-√3) a. 16 b. 22 c. 25+10√3 d. 16+10√3

1 answer:

8 0

The given expression is in the form (a+b)(a-b) where
a = 5
b = sqrt(3)

Recall that
(a+b)(a-b) = a^2-b^2
is the difference of squares formula

If a = 5, then a^2 = 25
If b = sqrt(3), then b^2 = (sqrt(3))^2 = 3
The squaring undoes the square root. The two opposites cancel out.

So using a^2 = 25 and b^2 = 3, we can say
(a+b)(a-b) = a^2-b^2 = 25-3 = 22

Therefore,
(5+sqrt(3))(5-sqrt(3)) = 22

Answer: B) 22

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Solution: The needed answer for first blank is 1 and the needed a for second blank is 1.

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So, the given equation is written as $y=(x^2+2x+1)-1-1$

$y=(x+1)^2-2$

Therefore, the needed answer for first blank is 1 and the needed a for second blank is 1.

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3 years ago

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Algebra what a subject please write down all the rules when using algebra ill provide some below that I know

Andrews [41]

Step-by-step explanation:

Algebra is a topic that covers linear equations, system of equations, sequences, exponential functions, polynomials, quadratic, exponents, radicals, functions, and more. I'm going to give use algebraic formulas and not all the topics.

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For example, look at

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Add the coeffceint and keep the variable.

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Alot questions in Algebra asks you to isolate a variable. For example,

$\frac{x}{2} + 6 = 9$

First step, is to get the x variable by itself. To do this subtract 6 by both sides. Why? Because Subtraction is a inverse operation off addition. Remeber the Golden Rule of Algebra,

WHAT WE DO TO ONE SIDE. WE DO TO THE OTHER.