Value of satisfying √ + 3 + √ − 2 = 5 , is

2

5

−

√

3

Multiply

2

5

−

√

3

by

5

+

√

3

5

+

√

3

.

2

5

−

√

3

⋅

5

+

√

3

5

+

√

3

Multiply

2

5

−

√

3

and

5

+

√

3

5

+

√

3

.

2

(

5

+

√

3

)

(

5

−

√

3

)

(

5

+

√

3

)

Expand the denominator using the FOIL method.

2

(

5

+

√

3

)

25

+

5

√

3

−

5

√

3

−

√

3

2

Simplify.

2

(

5

+

√

3

)

22

Cancel the common factors.

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5

+

√

3

11

The result can be shown in multiple forms.

Exact Form:

5

+

√

3

11

Decimal Form:

0.61200461

…

6.732

4.414

d

step-by-step explanation:

d

we know that

applying the law of sines

°

so

∠j=18°

∠k=29°

∠l=180-(18+29)=133°

the answer part a) is

the measure of angle k is  ≈29°

part b)  the measure of angle k could also be

(180-29)=151°

so

∠j=18°

∠k=151°

∠l=180-(18+151)=11°

the answer part b) is

the measure of angle k could also be 151°

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