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?

A student writes the formula sqrt(ab) = sqrtasqrtb . Then he substitutes a = -1, b = -1 and finds 1 = -1. Explain where he is 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 (sqrt(3)-\ 1)/(sqrt(3)+\ 1)=a-b\ sqrt(3) , then (a) a=2,\ b=1 (b) a=2,\ b=-1 (c) a=-2,\ b=1 (d) a=b=1

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

In a DeltaA B C ,\ if\ b=sqrt(3),\ c=1\ a n d\ /_A=30^0 , then find a

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

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

If (1-tan^(2)36^(@))/(2)=sqrt(a)-sqrt(b) ,then the value of (a+b) is equal to (a,b in N) (A)5 (B) 9 (C) 7 (D)None of these

In a DeltaA B C , if b=sqrt(3), c=1 a n d /_A=30^0, then find a

Find the angle between two vectors vec a\ a n d\ vec b with magnitudes 1\ a n d\ 2 respectively and when | vec axx vec b|=sqrt(3)dot