please answer this question
Answers
answer = 1
A 3/5 is a terminating decimal . 3/5 ==> 0.6
answer = 2
answer is infinite . The definition of a rational number is an integer or a fraction. We can take the fractions 3/2, 4/3, 5/4, 6/5, 7/6, 8/7,...and continue in this way to realize there are infinitely many rational numbers.
answer = 3
(2+√3)(2-√3)m
==> (a)²-(b)² = (a+b) (a-b)
==> (2)²+(√3)²
==> 4-3
==> 1
answer = 1
answer = 4
==> (27)^-2/3
==> (3)^3*-2/3
==> (3)^-2
==> 9
answer = 9
answer = 5
simplify ∛2 * 4 root 3
==> l.c.m of root 3 and 4
==> 12 is lcm
so, now
12√(2)^4 × 12√(3)^3
==> 12√16 × 12√27
==> 12 root 432
answer = 6
find 2 rational no. b/w 1/2 and 1/3
==> 1/2*9/9 and 1/3*6/6
==> 9/18 and 6/18
==> answer = 7/18 , 8/18
answer = 7
two irrational no. b/w 2 and 3
answer ==> 2.34444, 2.556666 , 2.677
answer = 8
multipy (3-√5) (6+√2)
==> 18+3√2-6√5-√10
==> 3√2 + 3√2 - 6√5-√10
==> √2(3+3) - 6√5-√10
==> 6√2 - 6√5 - √10
answer = 9
0.888 in the form of p/q
==> let x = 0.888.....................(1)
multiply both sides by 10
==> x*10 = 10*0.888
==> 10x = 8.888 ..................(2)
subtract eq(1) and (2)
10x-x = 8.8888....... - 0.8888
==> 9x = 8
==> x = 8/9
answer = 10
7+3√5 / 7 - 3√5
by rationalise
==> 7+3√5 / 7 - 3√5 × 7+3√5 / 7 + 3√5
==> (7+3√5) (7+3√5) / (7)²-(3√5)²
==> 49+45+ 42√5 / 49-45
==> 94 + 42√5 / 4
==> 2(47 + 21√5)/ 4
==> 47+21√5 / 2