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:
120
Step-by-step explanation:
80 divided by 2 is 40 plus 80 would be 120 which is 6 minutes worth of filling
Answer:
Weight on the moon=x=15.87 kilograms
Step-by-step explanation:
This can be expressed as;
Weight on earth=Constant×Weight on moon
where;
Weight on moon=14.2 kilograms
Constant=k
Weight on Earth=85 kilograms
Replacing in the expression above;
85=14.2×k
k=(85/14.2)=5.986
If the person weighs 95 kilograms on Earth;
Weight on the earth=Constant×Weight on moon
where;
Weight on the moon=x
Constant=5.986
Weight on the earth=95 kilograms
Replacing;
95=5.986×x
x=95/5.986=15.87
Weight on the moon=x=15.87 kilograms
Answer:
about0.9165
Step-by-step explanation:
Hello!
The formula for the volume of a sphere is 
³.
Let's plug in our radius.
As we are not looking for an exact answer,we can look for an answer in terms of pi. Maybe we could multiply our fraction by 1,000.
Therefore, our answer is D.
I hope this helps!
