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miskamm [114]
2 years ago
10

Write √(-12) in simplest radical form

Mathematics
1 answer:
snow_lady [41]2 years ago
3 0

Answer:  2i\sqrt{3}

where i = \sqrt{-1}

====================================================

Work Shown:

x = \sqrt{-12}\\\\x = \sqrt{-1*4*3}\\\\x = \sqrt{-1}*\sqrt{4}*\sqrt{3}\\\\x = i*2*\sqrt{3}\\\\x = 2i\sqrt{3}\\\\

Therefore, \sqrt{-12} = 2i\sqrt{3}

------------

Explanation:

The basic steps are to factor the radicand such that we pull out the -1 and we also pull out the largest perfect square factor. That way we can then apply the rule \sqrt{A*B} = \sqrt{A}*\sqrt{B} to break up the root and simplify.

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Use the distributive property to write a new expression that is equivalent to this expression. 8 (-x -(1/2)
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Answer:

-8x-4 is the answer using distributive property.

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In the given figure ABCD is a tripepizeum with AB||CD. If AO = x-1, CO = BO = x+1 and CD = x+4. Find the value of x.
Hitman42 [59]

\longmapstoThe value of "x" is 5.

\large\underline{\sf{Solution-}}

Given that,

A trapezium ABCD in which AB || CD such that

  • AO = x - 1

  • CO = BO = x + 1

  • OD = x + 4

Now,

\rm In \: \triangle  \: AOB  \: and \: \triangle \:  COD

\rm  \: \angle  \: AOB  \: and \: \angle \:  COD \:  \:  \{vertically \: opposite \: angles \}

\rm  \: \angle  \:ABO  \: and \: \angle \:  CDO \:  \:  \{alternate \: interior \: angles \}

\bf \: \triangle  \: AOB \:  \sim \:  \triangle  \: COD \:  \:  \:  \{AA \: similarity \}

\bf\longmapsto\:\dfrac{AO}{CO}  = \dfrac{BO}{DO}

\rm \longmapsto\:\dfrac{x - 1}{x + 1}  = \dfrac{x + 1}{x + 4}

\rm \longmapsto\:(x - 1)(x + 4) =  {(x + 1)}^{2}

\rm \longmapsto\: {x}^{2} - x + 4x - 4 =  {x}^{2} + 1 + 2x

\rm \longmapsto\: 3x - 4 =  1 + 2x

\rm \longmapsto\: 3x  -  2x=  1 +4

\bf\longmapsto \:x = 5

7 0
2 years ago
QUICK I NEED HELP!!!
Tems11 [23]

Answer:

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photos are enlarged by a certain factor, divide the new width by the old width and youll get the factor (12).

You can then multiply the original height by 12 to get the answer

12 X 14 =168

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Answer:

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You can use multiplication:

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You can also use addition:

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Tulky draws 4 ten sticks and less than ten circles to make what number
11111nata11111 [884]
I would try -50 i really dont get what your asking but i did -10 -40=50
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