Tags Math and Arithmetic

Animals & Plants Arts & Entertainment Auto Beauty & Health Books and Literature Business Electronics Engineering & Technology Food & Drink History Hobbies Jobs & Education Law & Government Math People & Society Science Social Studies Sports Travel & Places

0

Subjects>Math>Math & Arithmetic

Why is the square root of 2 greater than 1?

Anonymous

∙ 15y ago

Updated: 9/18/2023

Suppose sqrt(2) < 1 and assume that only the positive sqrt is being considered.

Then square both sides of the inequality: 2 < 1 which is a contradiction.

So the supposition is wrong ie sqrt(2) > 1

Of course, there is a sqrt of 2 which is not >1, and that is -1.4142..

Wiki User

∙ 15y ago

Still curious? Ask our experts.

Chat with our AI personalities

Ezra

Faith is not about having all the answers, but learning to ask the right questions.

Chat with Ezra

Devin

I've poured enough drinks to know that people don't always want advice—they just want to talk.

Chat with Devin

Rafa

There's no fun in playing it safe. Why not try something a little unhinged?

Chat with Rafa

Add your answer:

Earn +20 pts

Q: Why is the square root of 2 greater than 1?

Write your answer...

Submit

Still have questions?

imp

Continue Learning about Math & Arithmetic

When is a square root less than the number?

when the number is greater than 1

Can The square root of a number be greater than that number?

Yes, if the number is less than 1

What happens when you repeatedly calculate the square root of anumber that is greater than one?

You eventually get the answer 1

The square root of a number is x is always less than x?

only if x is greater than 1

1 is what than the square root of 2?

1 is less than the square root of 2.

Trending Questions

What is the LCM of 25 and 64? What is the cost of potash per pound? What is the difference between geometry and math? What are the notes for a major scale? What IQ score is brillIant? What is acute period? What does it mean when my 6.0 powerstroke cuts out? What are names of the 12 tribes in the Old Testament? What is 79.6 rounded to the nearest ten and the nearest one? What is ARITHOPA? What is the cubed root of 5? How much greater is the surface area of a cube with a side length of 10 centimeters than a cube with a side length of 5 centimeters? What is 302000000 in scientific notation? How many hour are in 12 o'clock and 4 o'clock? Why do kings and queens have roman numerals after their names? How do you do function tables with equations? How many eights in three quaters? How do you simplify 6.96 Into a mixed number? What is the LCM of 1 and 11? Which length is equivalent to 4 meters?

Related Questions

Is the square root of a number greater than the square of the number?

Yes, if the number is less than '1'.Just the opposite, if the number is greater than '1'.

When is a square root less than the number?

when the number is greater than 1

True or false- a square number is always bigger than it's square root?

False. Only a square number greater than 1 is always bigger than its root. For example, the root of 16 is 4, but the root of 1/16 (0.0625) is 1/4 (0.25) and the square root of 1 is 1.

Is five and one fourth greater than less than or equals square root twenty six?

5 1/4 = 5.25 square root of 26 approximately equal to 5.099 Hence 5.25 > 5.099 or 5 1/4 is greater than square root of 26

Can The square root of a number be greater than that number?

Yes, if the number is less than 1

What happens when you repeatedly calculate the square root of anumber that is greater than one?

You eventually get the answer 1

The square root of a number is x is always less than x?

only if x is greater than 1

1 is what than the square root of 2?

1 is less than the square root of 2.

What is an irrational number greater than 1 but less than 2?

The square root of 2 and the square root of 3 both qualify. Both of these are irrational and both are greater than 1 but less than 2. There are, of course, uncountably infinite different irrational numbers in the range between 1 and 2 and countably infinite rational numbers.

Is the square root of a number always bigger than its square root?

No, not always since: if a number is more than 1, then its square root is smaller than the number. if a number is less than 1, then its square root is bigger than the number.

When is the Square root of x greater than x?

when x is a negative number --- is a wrong answer since square root of a negative number is not defined. So x has to be zero or a positive number. The correct answer is that when x lies between 0 and 1 (with both limits excluded), its square root is greater than the number itself. Of course at both limits, the square root (assuming the positive square root - since a square root of a number can be positive or negative, both with the same absolute value) is the same as the number.

Is there an algebraic way to write the square root of x is greater than x?

Sqroot x > x if x<1.

Resources

Top Categories

Product

Company

Copyright ©2025 Infospace Holdings LLC, A System1 Company. All Rights Reserved. The material on this site can not be reproduced, distributed, transmitted, cached or otherwise used, except with prior written permission of Answers.