Trigonometry/Pi Digits
What is 5/0+SqRt (0)^(3)?
5/0: Division by 0 is undefined in mathematics.
03: The cube of 0, (0 multiplied by itself three times) is 0. So 03=0*0*0.
SqRt (0): The square root of 0 is 0, since 02=0.
SqRt (03): This is the square root of 0, which is 0.
The expression:
5/0+SqRt (0)^(3)
Becomes:
Undefined+0
Since dividing by 0 is undefined, the whole expression is undefined.
What is SqRt (2)+SqRt (3)?
Step 1:
The expression is in the form SqRt(a+b) SqRt(c), where a=2, b=1, c=3.
Step 2:
We want to find two numbers, x and y, such that (x+y)2=x2+2xy and y2=2+SqRt(3)
Step 3:
We can rewrite the expression as SqRt(2)+SqRt(3)=SqRt(4+2)SqRt(3/2). Now we look for x and y, such that x2+y2=4/2=2 and 2xy=2 SqRt(3)/(2)
Step 4:
We can see that if x=SqRt(3/2) and y=SqRt(1/2), then x2+y2=3/2+1/2=2 and 2xy= 2 SqRt (3/2 * 1/2)=2 SqRt (3/4)= SqRt (3)
Step 5:
So we have SqRt(2)+SqRt(3) SqRt (SqRt(3/2)+SqRt (1/2)2=SqRt(3/2)+SqRt (1/2)
Step 6:
SqRt(3/2)+SqRt(1/2)=SqRt(3)/SqRt(2)+1/SqRt(2) = SqRt(3)+1/SqRt(2)
Step 7:
(SqRt(3)+1)SqRt(2)/2=SqRt(6)+SqRt(2)/2
Solution
SqRt(6)+SqRt(2)/2
What is 4x2-5x-12=0?
Step 1:
4x2-5x-12=0
Identify the coefficients a, b, and c of the quadric equation
a=4, b=5, c= -12Step 3:
x=-(-5)+SqRt(-5)2-4*4*(-12)/2*4
Step 4:
x=5+SqRt(-5)2-4*4*(-12)/2*4
Step 5:
x=5+SqRt(25)-4*4*(-12)/2*4
Step 6:
x=5+SqRt(25+192)/2*4
Step 7:
x=5+SqRt(25+192)/8
Step 8:
x=5+SqRt(217)/8
Step 9:
x=5+SqRt(217)/8
x=5-SqRt(217)/8
Solution
x1=5-SqRt(217)/8, x2=5+SqRt(217)/8
What is Pi/0?
Step 1:
Pi/0
Any expression divided by 0 is undefined
Undefined
Solution:
Undefined
What is numbers 1-10 in Roman Numeratics?
1=I
2=II
3=III
4=IV
5=V
6=VI
7=VII
8=VIII
9=IX
10=X
What is 52-SqRt(e1%)?
Step 1: 52: This is a whole number.
SqRt: This represent the square root operation.
e: This is Euler's number, a mathematical constant approximately equal to 2.71828.
1%: This represents one percent, which needs to be converted to a decimal (0.01).
Step 2: First, calculate e to the power of 1%, Since e to the power of 1 is simply e, e to the power of 1% is effectively 0.01.
Step 3: Using a calculator, the exression can be evaluated:
52-SqRt(e1%)=52-SqRt(e^0.01).
The calculation results in approximately 50.9949875.
Step 4: Therefore, 52-SqRt(e^0.01) is approximately 50.9949875.
What are the first 100 digits of Pi?
3.141592653589793238462643383279502884197169399375105820974944592307816406286208998628034825342117067
What is the Roman Numeral for 1,483?
MCDLXXXIII = M (1,000) + C (100) + D (500) + L (50) + X (10) + X (10) + X (10) + I (1) + I (1) + I (1) = 1,483
What is the value of SqRt(e)?
The square root of e (approximately 2.71828) is written as SqRt(e) or e^(1/2). Its approximate value is 1.62872127.
What is 61/57+SqRt (2) (56)*0-0^(2)?
Step 1:
61/57+SqRt (2) (56)*0-0^(2)
Write the division as a fraction
61/57+SqRt (2) (56)*0-0^(2)
Step 2:
61/57+SqRt (2) (56)*0-0^(2)
Step 3:
61/57+0-0^2
Step 4:
61/57+0-0
Step 5:
61/57-0
Solution
61/57
What is the SqRt of 12?
The square root of 12 (SqRt(12)) is equal to 2 SqRt(3) in simplest radical form, which is approximately 3.4641.
What is 623/45*34-SqRt (3)(96+x)?
Step 1:
623/45*34-SqRt(3)(96+x)
Write the division is a fraction
623/445*34-SqRt(3)(96+x)
Step 2:
623/45*34-SqRt(3)(96+x)
Calculate the product
21182/45-SqRt(3)(96+x)
Solution
21182/45-SqRt(3)(96+x)
What is the SqRt of 364?
The square root of 364 is approximately 19.079. It can also be expressed in simplified radical form as 2 SqRt(91).