Please help I don't know how to add fractions what is the answer and worked out to the problem 1/3+5/6

Square root of -30 over square root of -10

Nuetrik [128]

Answer: The answer is: " √3 " .

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→ The simplified expression is: " √3 " .

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Step-by-step explanation:

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We are given:

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→ $\frac{\sqrt{-30}}{\sqrt{-10}}$ ;

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Note the "imaginary number" — " √(-1) " —

which is represented by the symbol: " *i* " .

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So, let us factor out Both the numerator And the denominator:

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Start with the "numerator" ; as follows:

The numerator is: √(-30) ; which factors into:

→ √-1 * √30 ;

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Note that: " √-1 " ; is an imaginary number; which is represented

by the symbol: " *i* " .

As such, we can rewrite the numerator as:

→ *i* √30 .

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The denominator is: √(-10) ; which factors into:

→ √-1 * √10 ;

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As noted above:

→ " √-1 " ; is an imaginary number; which is represented

by the symbol: " *i* " .

As such, we can rewrite the denominator as:

→ *i* √10 .

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Now, let us rewrite the entire expression:

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( *i* √30)

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( *i* √10)

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Note: The *i* symbols "cancel out" to: " 1 " ;

→ { since: any "non-zero value" ; divided by "that same value" ;

is equal to: "1 " .} ;

→ { i.e., in our case: [ *i* ÷ *i* ] ; that is; " [*i* / *i* ], equals : " 1 " .}.

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And we are left with:

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→ " $\frac{\sqrt{30}}{\sqrt{10}}$ " .

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Note that both the numerator and the denominator are "square roots" —

and furthermore — are square roots of a "positive number".

Specifically, the "numerator" is: " √30 " ;

And the "denominator is: " √10 " .

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→ Note that the numerator: " √30 " ;

→ can be factored into: "√10 * √3 " ;

→ And that the "denominator" ; which is: " √10 " ; is one of the aforementioned 'factors' of the "numerator" .

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Let us rewrite the expression — and further simplify:

→ $\frac{\sqrt{30}}{\sqrt{10}}$ ;

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= $\frac{(\sqrt{10} *\sqrt{3})}{\sqrt{10}}$ ;

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Note: The "(√10)" values, "cancel out" to: "1" ;

→ {since: any "non-zero value" ; divided by "that same value" ;

is equal to: "1 " .} ;

→ { i.e., in our case: [" √10 ÷ √10 " ] ;

→ that is; [ " $\frac{\sqrt{10}}{\sqrt{10}}$ " ]" ;

→ equals : " 1 " .}.

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→ and we are left with: " (√3) / 1 " ;

→ which equals: " √3 " ;

→ which is our answer.

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Hope this is helpful to you.

Best wishes in your academic endeavors

— and within the "Brainly" community!

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5 0

4 years ago

What is the radius?

Alona [7]

D. 1010.37 km ! blah blah blah blah b

5 0

3 years ago

Ed is doing a survey of popular colors for cars for a school report. He decides to take a sample by sitting near a busy intersec

Vaselesa [24]

There are 12 more of white and blue cars than silver and red cars

Step-by-step explanation:

Step 1 :

Number of black cars counted by Ed = 23

Number of red cars counted by Ed = 9

Number of blue cars counted by Ed = 17

Number of white cars counted by Ed = 25

Number of silver cars counted by Ed = 21

We need to determine how many more white and blue cars are there than silver and red cars

Step 2 :

Total of white and blue cars = 25 + 17 = 42 cars

Total of sliver and red cars = 21 + 9 = 30 cars

Difference = 42 - 30 = 12 cars

Hence there are 12 more of white and blue cars than silver and red cars

Step 3 :

Answer :

There are 12 more of blue and white cars than red and silver cars

8 0

3 years ago

One eighth is less than one seventh

Serjik [45]

Answer:

Yes

Step-by-step explanation:

To prove that 1/8 is less than 1/7, the easiest way to do is convert it to decimals

1/8 = 0.125

1/7 = 0.14285714285 (Estimated - 0.14)

0.14 is a larger number than 0.125, therefore 1/8 is less than 1/7

7 0

3 years ago

Four times a number +3 is the same as 5+ the number

yarga [219]

x=2/3

4x+3=5+x

4(2/3)+3=5+2/3

4 0

3 years ago

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