Question

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

Answer 1

`√(28) = 2√(7)`

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

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

Explanation:

Given (Correct Parameters)

`\sqrt {28`

`\sqrt {500`

`\sqrt {162`

Required

Express in simplified form

`\sqrt {28`

Express 28 as 4 * 7

`√(28) = √(4) * √(7)`

Take positive square root of 4

`√(28) = 2 * √(7)`

`√(28) = 2√(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`