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amaurio908
05.10.2019 •
Mathematics
Directions: simply the expression.
i don’t know how to do this problem. can someone walk me through it?
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Ответ:
we have
we use a property of radicals. for positive numbers a and b:
applying this here:
we can work on the √(98) part first.
prime factorize 98.
98 is divisible by 2. 98 divided by 2 is 49 so we can write
98 = 2 · 49
but 49 is 7 · 7 so
98 = 2 · 7 · 7 = 2 · 7²
this means we can rewrite as
note that we can use another property (or the fact the square rooting a square gets rid of the square)
therefore,
back to our original expression:
simplify :
but is always positive so we do not need the absolute value signs.
therefore back to the original equation
side note:
because the original expression, , is always positive. we need the absolute value signs to force the simplified expression to be positive.
but for
we can drop the absolute value signs because x² is always positive. keep this in mind when you're simplifying these radicals with variables.
Ответ:
-6
Step-by-step explanation: