If root2=1.4 and root3=1.7 find value of 4/3 root3-2 root 2+3/3 root3+2 root 2
To find the value of the expression, we can substitute the given values for √2 and √3 into the expression and simplify it.
Given:
√2 = 1.4
√3 = 1.7
Let's substitute these values into the expression:
4/3√3 - 2√2 + 3/3√3 + 2√2
Now, simplify the expression step by step:
= 4/3(1.7) - 2(1.4) + 3/3(1.7) + 2(1.4)
= (4/3)(1.7) - 2(1.4) + (3/3)(1.7) + 2(1.4)
= (6.8/3) - 2(1.4) + (5.1/3) + 2(1.4)
= 2.27 - 2.8 + 1.7 + 2.8
= 2.27 + 1.7 + 2.8 - 2.8
= 6.47
Therefore, the value of the expression 4/3√3 - 2√2 + 3/3√3 + 2√2 is 6.47.
To find the value of the given expression, we can substitute the values of √2 and √3:
Given that √2 = 1.4 and √3 = 1.7, we can substitute these values into the expression:
4/3 √3 - 2 √2 + 3/3 √3 + 2 √2
= (4/3)(1.7) - (2)(1.4) + (3/3)(1.7) + (2)(1.4)
Simplifying each term:
= 5.6 - 2.8 + 1.7 + 2.8
= 8.5
Therefore, the value of the given expression is 8.5.
Doing my best to parse the wordy and ambiguous notation, I get
((4/3)√3 - 2√2+3)/(3√3 + 2√2)
No, that is too weird. How about
4/(3√3-2√2) + 3/(3√3+2√2)
Now we can make a common denominator of
(3√3-2√2)(3√3+2√2) = (3√3)^2 - (2√2)^2 = 27-8 = 21
and we have
4(3√3+2√2) + 3(3√3-2√2)
-----------------------------
21
12√3+8√2+9√3-6√2
-----------------
21
(21√3+2√2)/21
= √3 + (2/21)√2
Though why you would want to go through any of that is unclear, since you apparently want to use the approximate values of √2 and √3. Just use your calculator to evaluate the original expression.
Using your original syntax, that would be
4/3(1.7)-2(1.4)+3/3(1.7)+2(1.4)
I guess you can work out how the terms and factors are grouped together.