Step-by-step explanation:
<h3><u>Given</u><u>:</u><u>-</u></h3>
(√3+√2)/(√3-√2)
<h3><u>To </u><u>find</u><u>:</u><u>-</u></h3>
<u>Rationalised</u><u> form</u><u> </u><u>=</u><u> </u><u>?</u>
<h3><u>Solution</u><u>:</u><u>-</u></h3>
We have,
(√3+√2)/(√3-√2)
The denominator = √3-√2
The Rationalising factor of √3-√2 is √3+√2
On Rationalising the denominator then
=>[(√3+√2)/(√3-√2)]×[(√3+√2)/(√3+√2)]
=>[(√3+√2)(√3+√2)]×[(√3-√2)(√3+√2)]
=>(√3+√2)²/[(√3-√2)(√3+√2)]
=> (√3+√2)²/[(√3)²-(√2)²]
Since (a+b)(a-b) = a²-b²
Where , a = √3 and b = √2
=> (√3+√2)²/(3-2)
=> (√3-√2)²/1
=> (√3+√2)²
=> (√3)²+2(√3)(√2)+(√2)²
Since , (a+b)² = a²+2ab+b²
Where , a = √3 and b = √2
=> 3+2√6+2
=> 5+2√6
<h3><u>Answer:-</u></h3>
The rationalised form of (√3+√2)/(√3-√2) is 3+2√6+2.
<h3>
<u>Used formulae:-</u></h3>
→ (a+b)² = a²+2ab+b²
→ (a-b)² = a²-2ab+b²
→ (a+b)(a-b) = a²-b²
→ The Rationalising factor of √a-√b is √a+√b
Answer:
1100 cookies
Step-by-step explanation:
There are 3 types of cookies, the first represents 45% of the total, the second 25% and the last type there are 330. We can pose the following equation:
0.45 * x + 0.25 * x + 330 = x
solving for x:
x - 0.45 * x - 0.25 * x = 330
0.30 * x = 330
x = 330 / 0.3
x = 1100
which means that there are a total of 1100 cookies
Answer:
.13 cents per can
Step-by-step explanation:
If you bought 18 cans with $2.30, you need to divide 2.30 by 18 becauseyou need to find out the unit price for each can. When you divide .2.30 by 18 you get .1277777repeaing so you can just round up from there and get .13 cents.
Answer:
(2,1)
Step-by-step explanation:
Answer:
4.5
Step-by-step explanation:
