A student writes the formula `sqrt(a b)=sqrt(a)\ sqrt(b)dot` Then he substitutes `a=-1\ a n d\ b=-1\ a n d\ ` finds `1=-1` . Explain where is he wrong?

If (sqrt(3)-1)/(sqrt(3)+1)=a-b sqrt(3), then a=2,b=1 (b) a=2,b=-1a=-2,b=1(d)a=b=1

If a+b sqrt(6)=(1)/(5+2sqrt(6)) then find the values of a and b where a and b are rational numbers.

(sqrt(5)-1)/(sqrt(5)+1)+(sqrt(5)+1)/(sqrt(5)-1) =a+b sqrt(5) Then find the value of a and b

(a) In the formula t_(n)=[a+(n-1)d] , make 'n' as the subject. (b) find the value of n when t_(n)=92,a=1 and d=13 .

sqrt(2+sqrt(2+sqrt(2+ dot))) is equal to (a) 1 (b) 1.5 (c) 2 (d) 2.5

If (9sqrt(3)+11sqrt(2))^((1)/(3))=sqrt(a)+sqrt(b) ,where a and b are rational with a > b.Then

Q.Which of the following is/are always true? (a) Every irrational number is a surd.(b) Any surd of the form n sqrt(a)+n sqrt(b) can be rationalised by a surd of the form (n sqrt(a)-n sqrt(b)) a where n sqrt(a) and n sqrt(b) are surds.(c) Both (a) and (b) Neither (a) nor (b)

(sqrt(7)-1)/(sqrt(7)+1)=(sqrt(7)+1)/(sqrt(7)-1) Find the value of A and B

If sum_(k = 1)^(oo) (1)/((k + 2)sqrt(k) + ksqrt(k + 2)) = (sqrt(a) + sqrt(b))/(sqrt(c)) , where a, b, c in N and a,b,c in [1, 15] , then a + b + c is equal to