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
The problem tells you that a circle with radius 21 inches is painted in two colors. The two colors cover equal areas, so each color is half the area of the circle. You need to find half of the area of the circle. To do that, use the formula for the area of a circle, and then divide by 2.
Half the circle has area 1384.74 square inches / 2 = 692.37 square inches.
Answer: Each color covers 692.37 square inches.
Well 3.4 goes into the house and 12.92 is outside of it. 3.4 is a smaller number so you'd add zeros to get the 12.92 into 3.4. As you add zeros you'd take the decimals out and move them to the right two times. But u actually move the decimal first than adding zeros. Step 1: Take out the decimals. Step 2: Add the zeros. Step 3: Hope this helped.
Answer:
Step-by-step explanation:
The Maclaurin series of a function f(x) is the Taylor series of the function of the series around zero which is given by
We first compute the n-th derivative of 
, note that
Now, if we compute the n-th derivative at 0 we get
and so the Maclaurin series for f(x)=ln(1+2x) is given by
