Find the remainder when 73 × 75 × 78 × 57 × 197 × 37 is divided by 34.
Remainder,
[We have taken individual remainder, which means if 73 is divided by 34 individually, it will give remainder 5, 75 divided 34 gives remainder 7 and so on.]
[We have taken here negative as well as positive remainder at the same time. When 30 divided by 34 it will give either positive remainder 30 or negative remainder 4. We can use any one of negative or positive remainder at any time.]
Required remainder = 32.
If x = 2+√3, then x + 1/x =
The representation of octal number (532.2)8 in decimal is :
Octal to Decimal conversion is obtained by multiplying 8 to the power of base index along with the value at that index position.
(532.2)8 = 5 * 8^{2} + 3 * 8^{1} + 2 * 8^{0} + 2 * 8^{1} = (346.25)10
The value of is
The value of is
Which of the following is an rational number?
If 146! Is divisible by 5^{n}, and then find the maximum value of n.
Required answer,
Note:
We have taken integral value only, not the fractional.
For example 146/5 = 29.2 but we have taken 29 and so on.
(5+√8)+(3−√2)(√2−6) is
And we know that the value of 11√2 is greater than 15 so it's value will be positive, And also sum or differences of rational and irrational is irrational
√8+2√32−5√2 is equal to
Every rational number is
Every rational number is a real number. Real Number is a set of numbers formed by both Rational and Irrational numbers are combined.
The simplest form of is
(125/216) ^{1/3} =
8√15 ÷ 2√3
Ifn x = 3+2√2, then the value of
Decimal representation of a rational number cannot be
A nonterminating, nonrepeating decimal is a decimal number that continues endlessly, with no group of digits repeating endlessly.
Decimals of this type cannot be represented as fractions, and as a result, are irrational numbers.
The simplest form of is
If 3^{x} + 64 = 2^{6} + (√3)^{8}, then the value of ‘x’ is
If x^{1/12} = 49^{1/24}, then the value of ‘x’ is
The value of (0.00032)^{2/5} is
The decimal representation of an irrational number is
A number which can neither be expressed as a terminating decimal nor as a repeating decimal is called
The value of is
Which of the following is a rational number?
0 is an integer and all integers are rational numbers.
The value of is
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