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
This relates to ur previous question....there were 85 innings last question and 130 walks + hits which gave a whip score of 1.53......so if he wants to lower his whip (without changing his walks or hits) to 1.3....
130 / (85 + x) = 1.3....multiply both sides by (85 + x)
130 = 1.3(85 + x)
130 = 110.50 + 1.3x
130 - 110.50 = 1.3x
19.5 = 1.3x
19.5 / 1.3 = x
15 = x
he would have to pitch 15 more innings without any walks or hits to reach a goal of 1.3 whip score. This is not a reasonable goal.....have u ever seen a baseball game where a pitcher pitched 15 innings without any walks or hits ? And since a game consists of 9 innings....he would be 3 innings short of 2 games (thats if they dont go into overtime), and he would have to pitch a no hitter....and that is highly unlikely.
What can be divided? For example, for 48 you can divide 1, and 48 and you can also divide it by two which equals to 24 so keep writing that from least to greatest. You don't have repeat answers.
1,2,3,4,6,8,12,16,24,48
Answer:
c
Step-by-step explanation:
I think so I might not be right but I'm sure it's c
(9x 10^-3)^2=
, so d 8.1x10^-6
Evaluate 1/2a^-4b^2 for a =-2 and b=4
A number raised to a negative exponent is sometimes negative.
Hope this helps, now you know the answer and how to do it. HAVE A BLESSED AND WONDERFUL DAY! As well as a great Valentines Day! :-)
- Cutiepatutie ☺❀❤
