The simplest form of (sqrt(8+sqrt28)-sqr...

The simplest form of `(sqrt(8+sqrt28)-sqrt(8-sqrt(28)))/(sqrt(8+sqrt(28))+sqrt(8-sqrt(28)))`

Text Solution

Verified by Experts

The correct Answer is:

`1/sqrt(7)`

Promotional Banner

Promotional Banner

Topper's Solved these Questions

SURDS
S CHAND IIT JEE FOUNDATION|Exercise QUESTION BANK -6|25 Videos
SURDS
S CHAND IIT JEE FOUNDATION|Exercise SELF-ASSESSMENT SHEET -6|10 Videos
SQUARE ROOTS AND CUBE ROOTS
S CHAND IIT JEE FOUNDATION|Exercise SELF ASSESSMENT SHEET-4|10 Videos
TIME AND WORK
S CHAND IIT JEE FOUNDATION|Exercise Self Assessment Sheet - 20|10 Videos

S CHAND IIT JEE FOUNDATION-SURDS -UNIT TEST -1

The simplest form of (sqrt(8+sqrt28)-sqrt(8-sqrt(28)))/(sqrt(8+sqrt(28...
Text Solution
|
In a problem involving division, the divisor is eight times the quotie...
Text Solution
|
If x is any natural number, then x^(5) -x is divisible by:
Text Solution
|
The unit digit in the product 7^(35) xx 3^(71) xx 11^(55) is:
Text Solution
|
The number of prime factors of 6^(10) xx 7^(17) xx 55^(27) is:
Text Solution
|
xy is a number that is divided by ab where xy < ab and gives a result ...
Text Solution
|
The square root of: (2(1/3) -1(1/6))/(2(1/3) + 1(1/6)) is:
Text Solution
|
Simplify: (0.bar3 xx 1.bar(06))/(0.bar5 xx 0.bar4)
Text Solution
|
Simplify: ([(8^(-3//4))^(5//2)]^(8//15) xx 16^(3//4))/(64^(-1//3))
Text Solution
|
(28-10sqrt(3))^(1//2)-(7+4sqrt(3))^(-1//2) is equal to
Text Solution
|
The value of sqrt(root(3)(0.046656)) is:
Text Solution
|
Prove that sqrt(20+sqrt(20+sqrt(20+...)))=5
Text Solution
|
The value of sqrt(a sqrt(b sqrt(c sqrt(d)))) is:
Text Solution
|
Simplified value of: {(4^(m+1/4) xx sqrt(2.2^(m)))/(2sqrt(2^(-m)))}^(1...
Text Solution
|
The sum of two numbers is 684 and their HCF is 57. The number of possi...
Text Solution
|
Find the greatest number of six digits which on being divided by 6,7,8...
Text Solution
|