1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
sladkih [1.3K]
1 year ago
12

Rationalize the denominator: GRADE 9 CBSE

Mathematics
1 answer:
kakasveta [241]1 year ago
7 0

Answer:

1. a)

\begin{gathered} \frac{2}{ \sqrt{3} - 1 } = \frac{2}{ \sqrt{3} - 1} \times \ \frac{ \sqrt{3} + 1}{ \sqrt{3} + 1 } \\ = \frac{2 \sqrt{3} + 2 } {( \sqrt{3} ) {}^{2} - 1 {}^{2} } = \frac{2 \sqrt{} 3}{3 - 1} = \frac{2 \sqrt{3} }{2} \\ = \sqrt{3} \end{gathered}

\\

b)

\begin{gathered} = > \: \: \frac{7}{ \sqrt{12} - \sqrt{5} } \\ \\  = > \: \: \frac{7}{ \sqrt{12} - \sqrt{5} } \times \frac{ \sqrt{12} + \sqrt{5} }{ \sqrt{12} + \sqrt{5} } \\ \\  = > \: \: \frac{7( \sqrt{12} + \sqrt{5} ) }{ {( \sqrt{12}) }^{2} - {( \sqrt{5}) }^{2} } \\ \\ =  > \: \: \frac{7( \sqrt{12} + \sqrt{5}) }{12 - 5} \\ \\ => \: \: \frac{ \cancel{7}( \sqrt{12} + \sqrt{5} ) }{ \cancel{7}} \\ \\ => \: \: \sqrt{12} + \sqrt{5} \end{gathered}

You might be interested in
Translate the following phrase to a mathematical expression: a number times fifteen.
crimeas [40]

Answer:

it could either be n15

15n

because a number multiplied by 5 is

n15

but in mathematics a number comes before a letter when writing a mathematical expression

8 0
2 years ago
Read 2 more answers
Regular hexagon ABCDEF is inscribed in circle O. Find the measure of each arc and angle.
inessss [21]

Answer:

Measurement of angle ABC: 120

Measurement of arc ACE: 240

Measurement of arc AB: 60

Step-by-step explanation:

I got it right on my test

5 0
1 year ago
Which of the following statements is not correct? A every square is a parallelogram B every parallelogram is a rectangle C every
n200080 [17]
A. A square is a special type of parallelogram, so every square is a parallelogram. A. is true.

B. Every parallelogram has two sets of opposite sides parallel, but not all angles are right angles. Only some parallelograms are rectangles, not all. B. is false.

C. A parallelogram with 4 congruent sides is a rhombus. A rhombus is a special type of parallelogram, so every rhombus is a parallelogram. C. is true.

D. A rectangle is a special type of parallelogram, so every rectangle is a parallelogram. D. is true.
7 0
3 years ago
What is the cost of four $4.50 small drinks with a sales tax of 4%?
Andreyy89
It would be 18.72$. Hope dis helps :)
3 0
3 years ago
Read 2 more answers
Subtraction with Unequal Denominators 3/4 - 2/5=
Veseljchak [2.6K]

Answer:

7/20

Step-by-step explanation:

We need to find a common denominator in this equation, which would be 20. By changing the fractions to this denominator you would simply get 15-8 which equals 7

3 0
3 years ago
Read 2 more answers
Other questions:
  • These dot plots show the heights (in feet) from a sample of two different
    5·1 answer
  • Simplify: 125 A) 5 B) 10 C) 15 D) 20
    11·1 answer
  • There were 632 animals gathered at the river. A herd of 187 elephants and 266 zebras left the river area. How many animals were
    7·1 answer
  • What is the solution to the equation StartFraction 1 Over h minus 5 EndFraction + StartFraction 2 Over h + 5 EndFraction = Start
    8·2 answers
  • How are the commutative property of addition and the commutive property of multiplication alike
    13·1 answer
  • Find the value of x please
    9·1 answer
  • SELECT ALL the expressions that are equivalent to -2(4 - 3x) + (5x - 2)
    5·1 answer
  • 4. In the spinner below, the pointer stopped on the blank region. What color should the blank region be so
    15·1 answer
  • Pattie buys a handbag that costs 240 dollars and a scarf that costs 86 dollars. If sales tax is 7%, what is the total purchase p
    8·1 answer
  • How many solutions can be found for the equation 5x + 3(x − 1) = 10x − 2x − 3? (4 points) None
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!