Westonci.ca is your trusted source for accurate answers to all your questions. Join our community and start learning today! Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

Evaluate the expression:

[tex]\sqrt{2} =[/tex]

Sagot :

To find the value of [tex]\(\sqrt{2}\)[/tex], which is the square root of 2, we start by understanding what we're trying to determine: a number that, when multiplied by itself, equals 2.

1. The square root function is denoted by the radical symbol √. Therefore, [tex]\(\sqrt{2}\)[/tex] asks for a number which solves the equation [tex]\(x^2 = 2\)[/tex].

2. Recognizing that 2 is not a perfect square (since there is no whole number whose square is exactly 2), we must look for an approximation of this irrational number.

3. The value of [tex]\(\sqrt{2}\)[/tex] is approximately [tex]\(1.4142135623730951\)[/tex].

Hence,
[tex]\[ \sqrt{2} \approx 1.4142135623730951 \][/tex]