Maths-
General
Easy

Question

log subscript A space B, where B equals fraction numerator 12 over denominator 3 plus square root of 5 plus square root of 8 end fraction and A equals square root of 1 plus square root of 2 plus square root of 5 minus square root of 10 is

  1. a negative integer
  2. a prime integer
  3. a positive integer
  4. an even–natural

hintHint:

In this question, we have to find the. Where the value of A and B is given A = √1 + √2 + √5- √10And B=fraction numerator 12 over denominator 3 plus square root of 5 plus square root of 8 end fraction. To solve this question, solve B, rationalize it find the value B then find the log subscript a B.

The correct answer is: a positive integer


    img
    img
    img

    In this question, we have to find the log subscript a B. Here Solve first B. In B, rationalize it means multiply it denominator by sign change in both numerator and denominator

    Related Questions to study

    General
    chemistry-

    Statement 1:The equivalence point refers the condition where equivalents of one species react with same number of equivalent of other species.
    Statement 2:The end point of titration is exactly equal to equivalence point

    Statement 1:The equivalence point refers the condition where equivalents of one species react with same number of equivalent of other species.
    Statement 2:The end point of titration is exactly equal to equivalence point

    chemistry-General
    General
    maths-

    If alpha and beta are the roots of the equation open parentheses log subscript 2 space x close parentheses squared plus 4 open parentheses log subscript 2 space x close parentheses minus 1 equals 0 then the value of Error converting from MathML to accessible text. equals

    If alpha and beta are the roots of the equation open parentheses log subscript 2 space x close parentheses squared plus 4 open parentheses log subscript 2 space x close parentheses minus 1 equals 0 then the value of Error converting from MathML to accessible text. equals

    maths-General
    General
    chemistry-

    Statement 1:Iodimetric titration are redox titrations.
    Statement 2:The iodine solution acts as an oxidant to reduce the reductant straight I subscript 2 plus 2 straight e not stretchy rightwards arrow 2 straight I to the power of minus

    Statement 1:Iodimetric titration are redox titrations.
    Statement 2:The iodine solution acts as an oxidant to reduce the reductant straight I subscript 2 plus 2 straight e not stretchy rightwards arrow 2 straight I to the power of minus

    chemistry-General
    parallel
    General
    chemistry-

    Statement 1:Diisopropyl ketone on reaction with isopropyl magnesium bromide followed by hydrolysis gives alcohol
    Statement 2:Grignard reagent acts as a reducing agent

    Statement 1:Diisopropyl ketone on reaction with isopropyl magnesium bromide followed by hydrolysis gives alcohol
    Statement 2:Grignard reagent acts as a reducing agent

    chemistry-General
    General
    chemistry-

    The first noble gas compound obtained was:

    The first noble gas compound obtained was:

    chemistry-General
    General
    Maths-

    Given that log subscript p space x equals alpha and log subscript g space x equals beta then value of log subscript p divided by q end subscript space x equals –

    These four basic properties all follow directly from the fact that logs are exponents. 
    logb(xy) = logbx + logby.
    logb(x/y) = logbx - logby.
    logb(xn) = n logbx.
    logbx = logax / logab.

    Given that log subscript p space x equals alpha and log subscript g space x equals beta then value of log subscript p divided by q end subscript space x equals –

    Maths-General

    These four basic properties all follow directly from the fact that logs are exponents. 
    logb(xy) = logbx + logby.
    logb(x/y) = logbx - logby.
    logb(xn) = n logbx.
    logbx = logax / logab.

    parallel
    General
    chemistry-

    Statement 1:Change in colour of acidic solution of potassium dichromate by breath is used to test drunk drivers.

    Statement 2:Change in colour is due to the complexation of alcohol with potassium dichromate.

    Statement 1:Change in colour of acidic solution of potassium dichromate by breath is used to test drunk drivers.

    Statement 2:Change in colour is due to the complexation of alcohol with potassium dichromate.

    chemistry-General
    General
    Maths-

    Total number of solutions of sin{x} = cos{x}, where {.} denotes the fractional part, in [0, 2straight pi] is equal to

    In this question, we have to find the number of solutions. Here we have fractional part of x. It is {x} and {x}= x-[x]. The {x} is always belongs to 0 to 1.

    Total number of solutions of sin{x} = cos{x}, where {.} denotes the fractional part, in [0, 2straight pi] is equal to

    Maths-General

    In this question, we have to find the number of solutions. Here we have fractional part of x. It is {x} and {x}= x-[x]. The {x} is always belongs to 0 to 1.

    General
    chemistry-

    Statement 1:If a strong acid is added to a solution of potassium chromate it changes itscolour from yellow to orange.

    Statement 2:The colour change is due to the oxidation of potassium chromate.

    Statement 1:If a strong acid is added to a solution of potassium chromate it changes itscolour from yellow to orange.

    Statement 2:The colour change is due to the oxidation of potassium chromate.

    chemistry-General
    parallel
    General
    Maths-

    Total number of solutions of the equation 3x + 2 tan x =fraction numerator 5 straight pi over denominator 2 end fraction in x element of [0, 2straight pi] is equal to

    In this question, we use the graph of tanx . The intersection is the total number of solutions of this equation. The graph region is [ 0, 2π ].

    Total number of solutions of the equation 3x + 2 tan x =fraction numerator 5 straight pi over denominator 2 end fraction in x element of [0, 2straight pi] is equal to

    Maths-General

    In this question, we use the graph of tanx . The intersection is the total number of solutions of this equation. The graph region is [ 0, 2π ].

    General
    chemistry-

    The number of sigma bonds in P subscript 4 O subscript 10 is:

    The number of sigma bonds in P subscript 4 O subscript 10 is:

    chemistry-General
    General
    chemistry-

    Statement 1:Oxidation number of Ni in is zero.

    Statement 2:Nickel is bonded to neutral ligand carbonyl.

    Statement 1:Oxidation number of Ni in is zero.

    Statement 2:Nickel is bonded to neutral ligand carbonyl.

    chemistry-General
    parallel
    General
    Maths-

    Suppose equation is f(x) – g(x) = 0 of f(x) = g(x) = y say, then draw the graphs of y = f(x) and y = g(x). If graph of y = f(x) and y = g(x) cuts at one, two, three, ...., no points, then number of solutions are one, two, three, ...., zero respectively.

    The number of solutions of sin x = fraction numerator vertical line x vertical line over denominator 10 end fraction is

    In this question, we have drawn the graph. The number of intersections of both function fx and gx are the number solutions. Draw the graph carefully and find the intersection points.

    Suppose equation is f(x) – g(x) = 0 of f(x) = g(x) = y say, then draw the graphs of y = f(x) and y = g(x). If graph of y = f(x) and y = g(x) cuts at one, two, three, ...., no points, then number of solutions are one, two, three, ...., zero respectively.

    The number of solutions of sin x = fraction numerator vertical line x vertical line over denominator 10 end fraction is

    Maths-General

    In this question, we have drawn the graph. The number of intersections of both function fx and gx are the number solutions. Draw the graph carefully and find the intersection points.

    General
    chemistry-

    The first noble gas compound obtained was:

    The first noble gas compound obtained was:

    chemistry-General
    General
    chemistry-

    Statement 1:The redox titrations in which liberated  straight I subscript 2 is used as oxidant are called as iodometric titrations
    Statement 2:Addition of KI of CuSO subscript 4 liberates straight I subscript 2 which is estimated against hypo solution.

    Statement 1:The redox titrations in which liberated  straight I subscript 2 is used as oxidant are called as iodometric titrations
    Statement 2:Addition of KI of CuSO subscript 4 liberates straight I subscript 2 which is estimated against hypo solution.

    chemistry-General
    parallel

    card img

    With Turito Academy.

    card img

    With Turito Foundation.

    card img

    Get an Expert Advice From Turito.

    Turito Academy

    card img

    With Turito Academy.

    Test Prep

    card img

    With Turito Foundation.