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Mathematics 8 Online
OpenStudy (anonymous):

Help please

OpenStudy (anonymous):

OpenStudy (anonymous):

options are: a) 1 minus 3 square root of 2 b)1 plus 7 square root of 2 c)1 plus square root of 58 d)1 plus square root of 42

sam (.sam.):

Numbers with numbers, surds with surds

OpenStudy (anonymous):

@.Sam. i don't understand wat u mean?

OpenStudy (mathstudent55):

First, you need to take care of the parentheses. The first set of parentheses is unnecessary, so just drop it. The second set of parentheses has a negative sign to its left. That is the same as multiplying everything inside the parentheses by -1.

OpenStudy (mathstudent55):

When you multiply -1 by what is inside parentheses, just change every sign inside the parentheses, and drop the parentheses.

OpenStudy (mathstudent55):

For example: -(x - 4) = -x + 4

sam (.sam.):

\[(4+\sqrt{50})-(3-\sqrt{8})\] \[4-3+\sqrt{50}+\sqrt{8}\]

OpenStudy (anonymous):

how do i solve the square root?

sam (.sam.):

Split the root 50 and root 8 using greatest common denominator GCD you get \[=\sqrt{25}\sqrt{2}+\sqrt{4}\sqrt{2}\] \[=5\sqrt{2}+2\sqrt{2}\] \[=7\sqrt{2}\]

OpenStudy (anonymous):

@.Sam. thanks

OpenStudy (mathstudent55):

\( (4 + \sqrt{50}) - (3 - \sqrt{8}) \) Drop the first set of parentheses since they are unnecessary. \( 4 + \sqrt{50} - (3 - \sqrt{8}) \) Multiply out the second set of parentheses by -1. \( 4 + \sqrt{50} - 3 + \sqrt{8} \) Rearrange the expression to have the numbers together and the roots together. \(4 - 3 + \sqrt{50} + \sqrt{8} \) Combine the numbers together \(1 + \sqrt{50} + \sqrt{8} \) Factor the largest perfect square out os each square root. \(1 + \sqrt{25 \times 2} + \sqrt{4 \times 2} \) \(1 + \sqrt{25}\sqrt{2} + \sqrt{4}\sqrt{2} \) \(1 + 5\sqrt{2} + 2\sqrt{2} \) Combine the root parts \(1 + 7\sqrt{2} \)

OpenStudy (anonymous):

@mathstudent55 thank you

OpenStudy (mathstudent55):

wlcm

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