If 3^1/2=1.372 then the approximate value of 3^1/2+1 / 3^1/2 -1 is ---------------.?

Question

options:
a. 4.732 b. 1.732 c. 3.732 d.2.732

Answer 1

1/3^1/2 = (3^1/2) / 3

= 1.372/3

= 0.457

0.457 + 1.372
= 1.829


b

Answer 2

First assumption 3^1/2 = 1.732 and not 1.372 as you said.

Then 3^1/2+1 / 3^1/2-1

= 1.732 +1 / 1.732 -1

= 2.732 / 0.732

= 3.732.

Answer 3

3¹/²=1.732 then the approximate value of 3¹/² +1 / 3¹/² -1 is :
1.732 + 1 over 1.732 - 1 = 2.732 / .732 = 3.732
Answer: c.

Another version:
3¹/² = sqrt of 3 = 1.732
\/3 + 1 over \/3 - 1 = [(\/3 + 1)(\/3 + 1)] over [(\/3-1)(\/3 + 1)] =
(\/3)² + 2\/3.1 + 1² over (\/3)² - 1² =
3 + 2\/3 + 1 over 3 - 1
4 + 2\/3 over 2 =
2 + \/3 =
2 + 1.732 = 3.732
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Answer 4

You need better parentheses. As you'll notice, everyone above me did it differently...

Ex:
equation #1
3^(1/2 + 1) / 3^(1/2 - 1)
or
equation #2
[3^(1/2)] + [1 / [3^(1/2)]] - 1
or
equation #3
(3^1/2) + 1
---------------
(3^1/2) - 1


Also: 3^1/2 = 1.732, not 1.372

Using the right result for 3^1/2, and trying all three equations I listed above, I get C as the answer (using equation 3).

Answer 5

you might have got the answer but 3^1/2=1.732 not 1.372


3^1/2=1.7320508..

Answer 6

3.732 is the answer

proceedure:-
multiply numerator and denominator by (3^1/2+1).

the equation will look like
(3^1/2+1)(3^1/2-1)/(3^1/2-1)(3^1/2+1)

solving by identities (a+b)^2=a^2+b^2+2*a*b
and (a+b)(a-b)=(a^2-b^2);

on solving
2+3^1/2
=2+1.372
=3.372

hope i answered u.....

Answer 7

= [3^(1/2) + 1] / (3 ^(1/2) - 1)

= [3^(1/2) + 1] . [3^(1/2) + 1] / [3^(1/2) - 1] . [3^(1/2) + 1]

= [3 + 2√3 + 1] / (3 - 1)

= (4 + 2√3) / 2

= 2 + √3

= 3.732 which is ANSWER c