PLEASE HELP

Mathematics

1 answer:

Vladimir [108]3 years ago

5 0

Answer:

5.5 inches

Step-by-step explanation:

1) the formula to find the area of a square is l^2= area and l=length

in this case we already know the area but not the length

so we have to find the square root of 30 as the opposite operation needs to be used to find the missing number

√30= 5.47

5.47 rounded= 5.5

the length of one side is 5.5 in

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3 years ago

Find the product of the 3+ V11 and its conjugate.

erik [133]

Answer:

It would be -2.

Step-by-step explanation:

Key skills: Conjugate, Distribution Property, and Addition/Subtraction

3 + $\sqrt{11\\}$ is your expression. The conjugate is an important concept you need to know to solve this.

Given the expression: $a + \sqrt{b\\}$

It's conjugate would be: $a - \sqrt{b}$

(Basically if there is an addition sign between the 2 terms, it would become a subtractions symbol and if there is a subtraction symbol it would become an addition symbol)

1) So the conjugate of $3+ \sqrt{11}$ would be $3 - \sqrt{11}$

2) Now we would have to multiply them

( $3 + \sqrt{11}$ )( $3- \sqrt{11}$ ) is your expression.
If you use distribution property, you will get to: $3^{2} + 3\sqrt{11} - 3\sqrt{11} + \sqrt{11}^{2}$
The two middle terms would cancel out (they both add up to 0), so then we have $3^{2} - \sqrt{11}^2$
This would simplify into 9-11, which is then -2