HARD
Earn 100

Prove that 19 is an irrational number.

Important Questions on The Number System

EASY
Mathematics>Arithmetic>The Number System>Use rational approximations of irrational numbers to compare the size of irrational numbers, locate them approximately on a number line diagram, and estimate the value of expressions.
Which of the following is not irrational?
MEDIUM
Mathematics>Arithmetic>The Number System>Use rational approximations of irrational numbers to compare the size of irrational numbers, locate them approximately on a number line diagram, and estimate the value of expressions.
Which of the following numbers is an irrational number?
EASY
Mathematics>Arithmetic>The Number System>Use rational approximations of irrational numbers to compare the size of irrational numbers, locate them approximately on a number line diagram, and estimate the value of expressions.
The square root of 2151169 is
MEDIUM
Mathematics>Arithmetic>The Number System>Use rational approximations of irrational numbers to compare the size of irrational numbers, locate them approximately on a number line diagram, and estimate the value of expressions.
Which one of the following is the smallest number by which 2880 must be divided in order to make it a perfect square ?
HARD
Mathematics>Arithmetic>The Number System>Use rational approximations of irrational numbers to compare the size of irrational numbers, locate them approximately on a number line diagram, and estimate the value of expressions.
A positive number exceed its positive square root by 30. Find the square of that number:
EASY
Mathematics>Arithmetic>The Number System>Use rational approximations of irrational numbers to compare the size of irrational numbers, locate them approximately on a number line diagram, and estimate the value of expressions.
What is the square root of 0.352+0.70+12.25+0.19?
MEDIUM
Mathematics>Arithmetic>The Number System>Use rational approximations of irrational numbers to compare the size of irrational numbers, locate them approximately on a number line diagram, and estimate the value of expressions.

In the following, the irrational number is:

EASY
Mathematics>Arithmetic>The Number System>Use rational approximations of irrational numbers to compare the size of irrational numbers, locate them approximately on a number line diagram, and estimate the value of expressions.
What is the smallest natural number from the following which must be subtracted from 9410 to make the remaining number a perfect square?
MEDIUM
Mathematics>Arithmetic>The Number System>Use rational approximations of irrational numbers to compare the size of irrational numbers, locate them approximately on a number line diagram, and estimate the value of expressions.
Suppose p,q,r are positive rational numbers such that p+q+r is also rational. Then
EASY
Mathematics>Arithmetic>The Number System>Use rational approximations of irrational numbers to compare the size of irrational numbers, locate them approximately on a number line diagram, and estimate the value of expressions.
The sum of the squares of 3 natural numbers is 1029, and they are in the proportion 1:2:4. The difference between greatest number and smallest number is:
EASY
Mathematics>Arithmetic>The Number System>Use rational approximations of irrational numbers to compare the size of irrational numbers, locate them approximately on a number line diagram, and estimate the value of expressions.
Which one of the following is correct?
EASY
Mathematics>Arithmetic>The Number System>Use rational approximations of irrational numbers to compare the size of irrational numbers, locate them approximately on a number line diagram, and estimate the value of expressions.
Find the square root of 1471369.
EASY
Mathematics>Arithmetic>The Number System>Use rational approximations of irrational numbers to compare the size of irrational numbers, locate them approximately on a number line diagram, and estimate the value of expressions.
What is the square root of 16+67?
EASY
Mathematics>Arithmetic>The Number System>Use rational approximations of irrational numbers to compare the size of irrational numbers, locate them approximately on a number line diagram, and estimate the value of expressions.
π is 
EASY
Mathematics>Arithmetic>The Number System>Use rational approximations of irrational numbers to compare the size of irrational numbers, locate them approximately on a number line diagram, and estimate the value of expressions.
Which one of the following is an irrational number?
MEDIUM
Mathematics>Arithmetic>The Number System>Use rational approximations of irrational numbers to compare the size of irrational numbers, locate them approximately on a number line diagram, and estimate the value of expressions.
Prove that 2 is an irrational number.
MEDIUM
Mathematics>Arithmetic>The Number System>Use rational approximations of irrational numbers to compare the size of irrational numbers, locate them approximately on a number line diagram, and estimate the value of expressions.
Given that 2 is irrational, prove that 5+32 is an irrational number.
EASY
Mathematics>Arithmetic>The Number System>Use rational approximations of irrational numbers to compare the size of irrational numbers, locate them approximately on a number line diagram, and estimate the value of expressions.
Which of the following is an irrational number?
EASY
Mathematics>Arithmetic>The Number System>Use rational approximations of irrational numbers to compare the size of irrational numbers, locate them approximately on a number line diagram, and estimate the value of expressions.
What smallest number should be added to the sum of squares of 15 and 14; so that the resulting number is a perfect square?
EASY
Mathematics>Arithmetic>The Number System>Use rational approximations of irrational numbers to compare the size of irrational numbers, locate them approximately on a number line diagram, and estimate the value of expressions.

Which among the following is not an irrational number?