Advertisements
Advertisements
Question
If \[\sqrt{2} = 1 . 414,\] then the value of \[\sqrt{6} - \sqrt{3}\] upto three places of decimal is
Options
0.235
0.707
1.414
0.471
Solution
Given that`sqrt2 = 1.414` .We need to find `sqrt6 - sqrt3`.
We can factor out from the given expression, to get
`sqrt6 - sqrt3 = sqrt3(sqrt2 - 1)`.
Putting the value of`sqrt2`, we get
`sqrt3 (sqrt2-1) = sqrt3(1.4142 - 1)`
`=1.732xx0.4142`
`= 0.7174`
Hence the value of expression must closely resemble be`0.707.`
APPEARS IN
RELATED QUESTIONS
Simplify:-
`2^(2/3). 2^(1/5)`
Simplify the following:
`(6(8)^(n+1)+16(2)^(3n-2))/(10(2)^(3n+1)-7(8)^n)`
If `5^(3x)=125` and `10^y=0.001,` find x and y.
State the power law of exponents.
The seventh root of x divided by the eighth root of x is
If \[8^{x + 1}\] = 64 , what is the value of \[3^{2x + 1}\] ?
If (23)2 = 4x, then 3x =
If (16)2x+3 =(64)x+3, then 42x-2 =
If x= \[\frac{\sqrt{3} - \sqrt{2}}{\sqrt{3} + \sqrt{2}}\] and y = \[\frac{\sqrt{3} + \sqrt{2}}{\sqrt{3} - \sqrt{2}}\] , then x2 + y +y2 =
If \[\sqrt{13 - a\sqrt{10}} = \sqrt{8} + \sqrt{5}, \text { then a } =\]
