Question

Q1) A number N when divided by 16 gives the remainder 5.____is the remainder when the same
number is divided by 8.
Q2) HCF is always tick the option:-
i)multiple of LCM
ii)factor of LCM
iii)divisible by LCM
iv)a and c both
Q3) what is the smallest number by which √5-√2 is to be multiplied to make it a rational number? Also find the number so obtained.​

Answer 1

Answer:

Given, x2−3 x+2=0

(x−2)(x−1)=0

x=2 and x=1

Hence, x=2 and x=1 are roots of x4−px2+q

Substituting x=1, we get

1−p+q=0→ (a)

Substituting x=2, we get

16−4p+q=0→ (b)

Subtracting (b) from (a), we get

(1−16)+3 p=0

3 p=15

p=5; Substituting in (a), we get

1−5+q=0

q=4