Question

Take a factor out of the square root: 4sqrt450

Put a positive factor back into the square root:-5sqrt0.6


please help

Answer 1

4
`√(450)` = 4
`√(25 * 18)`

= 4 × 5
`√(18)`

= 20
`√(18)`

= 20
`√(9 * 2)`

= 20 × 3
`√(2)`

= 60
`√(2)`

-5
`√(0.6)` = -5
`√(0.6)`

= -
`√(25 * 0.6)`

= -
`\sqrt{25 * (3)/(5)`

= -
`√(15)`

Steps Explanation:

• simplify 450 to 25 * 18
• now we can take the square root of 25 to give 5, which is factored out.
• follow this step to the end till it is completely simplified
• For the second part, factor in 5 by squaring it to give 25 and simplify to the end