Answer:
[tex]\sqrt{28} = 2\sqrt{7}[/tex]
[tex]\sqrt {500} = 10 \sqrt {5[/tex]
[tex]\sqrt {162} = 9 \sqrt {2[/tex]
Step-by-step explanation:
Given (Correct Parameters)
[tex]\sqrt {28[/tex]
[tex]\sqrt {500[/tex]
[tex]\sqrt {162[/tex]
Required
Express in simplified form
[tex]\sqrt {28[/tex]
Express 28 as 4 * 7
[tex]\sqrt{28} = \sqrt{4} * \sqrt{7}[/tex]
Take positive square root of 4
[tex]\sqrt{28} = 2 * \sqrt{7}[/tex]
[tex]\sqrt{28} = 2\sqrt{7}[/tex]
[tex]\sqrt {500[/tex]
Express 500 as 100 * 5
[tex]\sqrt {500} = \sqrt {100} * \sqrt {5[/tex]
Take positive square root of 100
[tex]\sqrt {500} = 10 * \sqrt {5[/tex]
[tex]\sqrt {500} = 10 \sqrt {5[/tex]
[tex]\sqrt {162[/tex]
Express 162 as 81 *2
[tex]\sqrt {162} = \sqrt {81} * \sqrt {2[/tex]
Take positive square root of 81
[tex]\sqrt {162} = 9 * \sqrt {2[/tex]
[tex]\sqrt {162} = 9 \sqrt {2[/tex]
