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Can you multiply two irrational logarithms to get a rational answer?
Yes. Take any rational number p. Let a = any number that is not a power of 10, so that log(a) is irrational. and let b = p/log(a). log(a) is irrational so 1/log(a) must be irrational. That is, both log(a) and log(b) are irrational. But log(a)*log(b) = log(a)*[p/log(a)] = p which is rational. In the above case all logs are to base 10, but any other base can be used.
Is the number log 216 an irrational number?
Irrational numbers are precisely those real numbers that cannot be represented as terminating or repeating decimals. Log 216 = 2.334453751 terminates and is therefore not irrational.
Is 36 a rational or irrational?
36 is a rational number
Is 18 an irrational?
No. An irrational number cannot be expressed as a/b where a and b are integers, b not zero. 18 = 18/1 = 36/2 = -36/-2 etc.
Is the square of 36 an irrational or a rational number?
The square of 36 is 1,296 ... rational.The square root of 36 is 6 ... also rational.
Can you multiply two irrational logarithms to get a rational answer?
Yes. Take any rational number p. Let a = any number that is not a power of 10, so that log(a) is irrational. and let b = p/log(a). log(a) is irrational so 1/log(a) must be irrational. That is, both log(a) and log(b) are irrational. But log(a)*log(b) = log(a)*[p/log(a)] = p which is rational. In the above case all logs are to base 10, but any other base can be used.
Is square root -36 a irrational number?
The square root of negative 36 is an imaginary number and therefore not an irrational number. For a number to be irrational it must first be real.
Is the number log 216 an irrational number?
Irrational numbers are precisely those real numbers that cannot be represented as terminating or repeating decimals. Log 216 = 2.334453751 terminates and is therefore not irrational.
Is 36 a rational or irrational?
36 is a rational number
Is the number 36 rational or irrational number?
yes
Is 36 over 5 an irrational number?
no
Is the square root of 36 - 25 rational or irrational?
If you mean 36 minus 25 then the square root of 11 is an irrational number
Is the square root of 36 is an irrational number?
No because the square root of 36 is 6 which is a rational number
Is the square root of 36 a rational or irrational number?
The square roots of 36 are ±6, therefore, sqrt(36) is a rational number.
Which irrational number is closest to 6?
Irrational numbers are infinitely dense. That is to say, between any two irrational (or rational) numbers there is an infinite number of irrational numbers. So, for any irrational number close to 6 it is always possible to find another that is closer; and then another that is even closer; and then another that is even closer that that, ...
Is the square root of ten an irrational number?
Yes. The square root of any number that is not a perfect square (like 9 or 36) is irrational.
Is the square root of 36 an irrational or a rational number?
They are both rational.
