Answered

IDNStudy.com, ang iyong gabay para sa mga sagot ng komunidad at eksperto. Alamin ang mga maaasahang sagot sa iyong mga tanong mula sa aming malawak na kaalaman sa mga eksperto.

Extracting square root of x²=32

Sagot :

MindOverMatteridn

The solution for x are $x = \pm 4\sqrt{2}$ or $ x = \: 4\sqrt{2} $ and $ x = - \: 4\sqrt{2} $

Solution:

To extract the square root of the equation $ {x}^{2} = 32 $, follow these steps:

Step 1: Understand the Equation

  • The equation $ {x}^{2} = 32 $ means that x is a number whose square is 32.

Step 2: Take the Square Root

  • To solve for x, take the square root of both sides:

[tex] \sqrt{ {x}^{2} } = \sqrt{32} [/tex]

Step 3: Simplify the Square Root

  • x² can be now x
  • The square root of 32 can be simplified by factoring it out because 32 is not a perfect square, hence:

[tex]\sqrt{32} = \sqrt{16 \times 2} = \sqrt{16} \times \sqrt{2} = 4\sqrt{2}[/tex]

Thus, the solutions for x are:

[tex]x = \pm \: 4 \sqrt{2} [/tex]

This means that $ x $ can be either $ 4\sqrt{2} $ or $ -4\sqrt{2} $.