" 8) If "a sqrt(c)=sqrt(ac)," then "longrightarrow(a,c" are positive integers) "

If asqrtc=sqrt(ac) , then………….(a,c are positive integers)

Find the last three digits of the sum of all poositive integers x such that sqrt(x+sqrt(1000))=sqrt(a)+sqrt(b). where a and b are positive integers?

If sqrt(10-2 sqrt 21)+ sqrt(8+2 sqrt 15)=sqrt a+ sqrt b , where a and b are positive integers, then the value of sqrt(ab) is closest to:

The 10th term of (3-sqrt((17)/4+3sqrt(2)))^(20) is (a) a irrational number (b) a rational number (c) a positive integer (d) a negative integer

The 10th term of (3-sqrt((17)/4+3sqrt(2)))^(20) is (a) a irrational number (b) a rational number (c) a positive integer (d) a negative integer

If sqrt(m)-sqrt(a)+sqrt(c) and sqrt(m), sqrt(a), and sqrt(c) are three surds, their

If sqrt(a)>sqrt(b)>sqrt(c)>sqrt(d) where a,b,c and d are consecutive natural numbers then which of the following is correct (1)sqrt(a)-sqrt(b)>sqrt(c)-sqrt(d)(2)sqrt(c)-sqrt(d)>sqrt(a)-sqrt(b)(3)sqrt(a)-sqrt(c)>sqrt(b)-sqrt(d)(4)sqrt(c)-sqrt(d)=sqrt(a)-sqrt(b)

In a triangle ABC sqrt(a)+sqrt(b)-sqrt(c) is (A) always positive (B) always negative (C) positive only when c is smallest (D) none of these