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VashaNatasha [74]
2 years ago
15

Simply 6-4 root 3/ 6+4 root 3 by ratnolising the denominator

Mathematics
2 answers:
photoshop1234 [79]2 years ago
7 0

Answer:

-7+4√3.

Step-by-step explanation:

6-4√3 / 6+4√3     Multiply top and bottom by  6-4√3:-

=  (6-4√3)( 6-4√3) / (6+4√3)(6- 4√3)

= (36-24√3- 24√3+48) / (36-48)

= (36-48√3+48) / (-12)

= -3 +4√3 - 4

=  -7 + 4√3.

Inessa [10]2 years ago
3 0

\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}

the question asks us to rationalise the given expression !

so let's start ~

\frac{6 - 4 \sqrt{3} }{6 + 4 \sqrt{3} }  \\  \\ \implies \:  \frac{6 - 4 \sqrt{3} }{6 + 4 \sqrt{3} }   \:  \times  \:  \frac{6 - 4 \sqrt{3} }{6 - 4 \sqrt{3} }  =  \frac{(6 - 4 \sqrt{3}) {}^{2}  }{6 {}^{2} - 4 \sqrt{3}  {}^{2}  }  \\  \\ \implies \frac{\: 6 {}^{2}   +  4 \sqrt{3}  {}^{2}  - (2 \times 6 \times 4 \sqrt{3} )}{36 - 48} \\  \\ \implies \:  \frac{36  + 48 - 48 \sqrt{3} }{ - 12}  \\  \\ \implies \:   \frac{84 + 48 \sqrt{3} }{ - 12}  \\  \\ \implies \:  \frac{ \cancel{- 12}(7  -  4 \sqrt{3} )}{ \cancel{ - 12} } \\  \\ \implies \: 7 - 4  \sqrt{3}

hope helpful :D

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romanna [79]

Answer:

3. Sides: Equilateral

Angles: Acute

4. Sides: Isosceles

Angles: Right

Step-by-step explanation:

3. Sides: Equilateral because in an equilateral triangle all sides are equal.

Angles: Acute because in an acute triangle all angles are acute.

4. Sides: Isosceles because in an isosceles triangle two legs are equal.

Angles: Right because in a right triangle, one angle is right.

7 0
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In the diagram below, PQ and RS are parallel. Based on the angle measures in the diagram, what is the value of X?
Butoxors [25]

Answer:

x would be equal to 70 grades

Step-by-step explanation:

The angle QRS is equal to 180 - 130 = 50 grades.

We add up that with the other 60 grades on the left, and we encounter ourselves with a simple equation:

60 + x + 50 = 180

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Hope this was helpful

4 0
3 years ago
How many ten thousands in 2,689,456
pav-90 [236]
There are eight, if I'm understanding the question correctly. 8 is in the ten thousands place, at least
6 0
3 years ago
Jaime has 8/10 of a candy bar left over. He wants to split it into 1/3 pieces.
Valentin [98]

Answer:

2 pieces.

Step-by-step explanation:

To identify how many pieces he can split with 8/10 of a candy bar, divide 8/10 by 1/3.

<u>Divide 8/10 by 1/3:</u>

\frac{8}{10} / \frac{1}{3}=

<u>Find the Ricipricol, then flip the sign:</u>

\frac{8}{10} (\frac{3}{1} )=

<u>Multiply:</u>

<u />\frac{8}{10} (\frac{3}{1})=\frac{24}{10} =\frac{2.4}{1}

2.4 represents how many pieces of chocolate he can make with 8/10 of a candy bar.

However, 2.4 pieces can't be made, therefore he can only make 2 <u>full</u> pieces.

6 0
3 years ago
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Anastaziya [24]

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4 years ago
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