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3 years ago

Simplify using appropriate identity 0.85 × 0.85 +2 × 0.85 ×0.15 × 0.15

Mathematics

2 answers:

spayn [35]3 years ago

7 0

The answer is 0.76075!

Hope this helps!

guapka [62]3 years ago

4 0

Remember that multiplication is to be done before addition or subtraction. We see that both terms have the factor 0.85:

0.85 × 0.85 +2 × 0.85 ×0.15 × 0.15 =

0.85 * ( 0.85 + 2*0.15*0.15).

This is equivalent to 0.85 ( 0.85 + 2*0.0225 ) = 0.85 ( 0.895 ).

This last result could be left as is, or evaluated with a calculator:

0.76075

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You need to use a process called "Ratinalization".

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Step 1. You need to multiply the numerator and the denominator of the fraction by $3+\sqrt{2}$ , which is the conjugate of the denominator $3-\sqrt{2}$ .

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