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1 answer:

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The answer is: " 16 * ∛12 " ; or, write as: " 35.631 " .
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Explanation:
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" Square root of 16 Cube root of 4 Square root of 4 Cube root of 16" =

</span>√16 * ∛6 *√4 *∛16 =

√16 * √4 * ∛6 * ∛16 =

4 * 2 * ∛6 * ∛16 =

8 * (∛6 * ∛16) =

8 * (∛(6 * 16) =

8 * (∛96) = ?
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What are the factors of "96" ? And do any of them have "perfect cube"? (since "96" does not) ??
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96: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96.___________________________________
Not: "8" is a perfect cube: ∛8 = 2 ;

and: "8 * 12 = 96" ;
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So; ∛(96) = ∛8 * ∛(12) = 2* ∛(12) .
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and:
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8 * (∛96) = 8 * 2 * ∛(12) ;
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= 16 * ∛12 ; or, use a calculator to multiply to find the value:

= 36.6308557617066198 ; round to 35.631 .
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If ab = 9 and a² + b² = 81, then (a+b)² = ?

Andre45 [30]

Answer:

Step-by-step explanation:

Through some clever algebra, we can combine our first two equations using the fact that

$(a+b)^2=a^2+2ab+b^2$

We have the a² and the b² in the equation $a^2+b^2=81$ , and we <em>almost </em>have a 2ab in the equation $ab=9$ . To get that 2ab, we can simply double both sides of the first equation to get $2ab=18$ . From there, we'll add the first two equations together, giving us the summed equation