Between (sqrt6 + sqrt7) and (sqrt5 + sqr...

Between `(sqrt6 + sqrt7) and (sqrt5 + sqrt8)`, the greater one is-

`sqrt5 + sqrt8`

`sqrt6 + sqrt7`

`sqrt5 + 2 sqrt2`

None of these

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

QUADRATIC SURDS
CALCUTTA BOOK HOUSE|Exercise Exercise -3.2|28 Videos
QUADRATIC SURDS
CALCUTTA BOOK HOUSE|Exercise Exercise -3.2|28 Videos
QUADRATIC EQUATION IN ONE VARIABLE
CALCUTTA BOOK HOUSE|Exercise EXERCISE-1.5|40 Videos
RATIO AND PROPORTION
CALCUTTA BOOK HOUSE|Exercise EXERCISE - 2.2 (Long Answer Type Questions)|19 Videos

Similar Questions

Explore conceptually related problems

(a) If x gt a, y gt b and x + y = a + b , then find which one of (sqrtx + sqrty) and (sqrta + sqrtb) is greater ? (b) Which one of the two (sqrt21 + sqrt11) and (2sqrt5 + 2 sqrt3) is greater ? (c) Which one is greater root(3)(4) and root(4)(5) ? (d) Find the greatest and least numbers : 2 sqrt2, 3 root(3)(2), 2 root(4)(3), 2 root(6)(7)

Which of (sqrt15 + sqrt3) and (sqrt10 + sqrt8) is greater ?

Determine which one of the two quanitties (sqrt(15) + sqrt3)) and (sqrt(10) + sqrt8) is greater.

If sqrt5 + sqrt3 = a, then sqrt5 - sqrt3 =

Do the product (sqrt3 + sqrt5) (sqrt6 + sqrt15)

Evaluate (sqrt3 + sqrt2 )^6 - ( sqrt3 - sqrt2)^6 .

If (sqrt7-sqrt3)=1/sqrt5(sqrt(35)+x) , the value of x is:

Prove that (2sqrt3+sqrt5) is an irrational number. Also check whether (2sqrt 3+ sqrt5)(2sqrt 3- sqrt5) is rational or irrational.

(sqrt10 + sqrt18)/(sqrt18 - sqrt(3 - sqrt5)) =

CALCUTTA BOOK HOUSE-QUADRATIC SURDS-Exercise -3.1

5 root(5)(15625) =
Text Solution
|
sqrt27 + 3 sqrt75 - sqrt(243) + sqrt48 =
Text Solution
|
Between (sqrt6 + sqrt7) and (sqrt5 + sqrt8), the greater one is-
Text Solution
|
root(3)(8 (sqrt3 -1)^(3))=
Text Solution
|
sqrt(125) + 5 sqrt45 -2 sqrt(245) + sqrt20 = 8sqrt5
Text Solution
|
root(4)((81)/(256)) is a surd true or false
Text Solution
|
sqrt(192) and sqrt(147) are surds
Text Solution
|
sqrt(150) and sqrt(180) are surds
Text Solution
|
Express in the form of the product of a rational and irrational number...
Text Solution
|
Prove that (a) 3 sqrt48 - 4 sqrt75 + 5 sqrt(192) = 32 sqrt3 (b) sqrt...
Text Solution
|
Determine which of the followings are rational and which are surds: ...
Text Solution
|
Express in the form of like surds: root(3)(4), root(6)(5), 2sqrt3.
Text Solution
|
Express the followings in complete surds: 2 root(3)(4), aroot(p)(b)
Text Solution
|
Express the followings in the form of mixed surds: root(5)(-2187 a^(6)...
Text Solution
|
Find out the greatest and least numbers: 2sqrt2, 3root(3)(2), 2root(4)...
Text Solution
|
Which one is greater between (sqrt7 - sqrt5) and (sqrt13 - sqrt11) ?
Text Solution
|
Which one is greater between (sqrt11 + sqrt9) and (sqrt13 + sqrt7) ?
Text Solution
|
Evaluate : (a) sqrt(xsqrt(xsqrt(x.....oo))) (b) sqrt(6+ sqrt(6 + sqrt(...
Text Solution
|
Prove that (a) sqrt(-sqrt3 + sqrt(3 + 8 sqrt(7 + 4 sqrt3))) =2 (b) ...
Text Solution
|
Prove that (12)/(3 + sqrt5 - 2 sqrt2) = 1 + sqrt5 + sqrt10 - sqrt2
Text Solution
|