Question

4. Write each Radical in Simplified Form (No Decimals.) A) V28 B) 500 C) 7162

Answer 1

Answer:

$\sqrt{28} = 2\sqrt{7}$

$\sqrt {500} = 10 \sqrt {5$

$\sqrt {162} = 9 \sqrt {2$

Step-by-step explanation:

Given (Correct Parameters)

$\sqrt {28$

$\sqrt {500$

$\sqrt {162$

Required

Express in simplified form

$\sqrt {28$

Express 28 as 4 * 7

$\sqrt{28} = \sqrt{4} * \sqrt{7}$

Take positive square root of 4

$\sqrt{28} = 2 * \sqrt{7}$

$\sqrt{28} = 2\sqrt{7}$

$\sqrt {500$

Express 500 as 100 * 5

$\sqrt {500} = \sqrt {100} * \sqrt {5$

Take positive square root of 100

$\sqrt {500} = 10 * \sqrt {5$

$\sqrt {500} = 10 \sqrt {5$

$\sqrt {162$

Express 162 as 81 *2

$\sqrt {162} = \sqrt {81} * \sqrt {2$

Take positive square root of 81

$\sqrt {162} = 9 * \sqrt {2$

$\sqrt {162} = 9 \sqrt {2$