Question

Simplify : (−√2 a + b + 3√2)2

Answer 1

Answer:

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Step-by-step explanation:

Here is the rule: when a and b are not negative

√(ab) = √a × √b

And here is how to use it:

Example: simplify √12

12 is 4 times 3:

√12 = √(4 × 3)

Use the rule:

√(4 × 3) = √4 × √3

And the square root of 4 is 2:

√4 × √3 = 2√3

So √12 is simpler as 2√3

Another example:

Example: simplify √8

√8 = √(4×2) = √4 × √2 = 2√2

(Because the square root of 4 is 2)

And another:

Example: simplify √18

√18 = √(9 × 2) = √9 × √2 = 3√2

It often helps to factor the numbers (into prime numbers is best):

Example: simplify √6 × √15

First we can combine the two numbers:

√6 × √15 = √(6 × 15)

Then we factor them:

√(6 × 15) = √(2 × 3 × 3 × 5)

Then we see two 3s, and decide to "pull them out":

√(2 × 3 × 3 × 5) = √(3 × 3) × √(2 × 5) = 3√10

Answer 2

Answer:

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Step-by-step explanation:

your answer,

\begin{gathered}2( {a }^{2} + ab) + 3 - ab \\ value \: \: of \: \: a = 5 \: \: and \: \: b = ( - 3) \\ \\ 2( {(5)}^{2} + 5 \times ( - 3)) + 3 - (5 \times ( - 3)) \\ \\ 2(25 - 15) + 3 - ( - 15) \\ \\ 2 \times 10 + 3 + 15 \\ \\ 20 + 18 \\ \\ 38\end{gathered}

2(a2 +ab)+3−ab

valueofa=5andb=(−3)

2((5)

2+5×(−3))+3−(5×(−3))

2(25−15)+3−(−15)

2×10+3+15

20+18

38