Hana M

13 Oktober 2023 06:14

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13 Oktober 2023 06:14

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H. Endah

Mahasiswa/Alumni Universitas Negeri Yogyakarta

13 Oktober 2023 13:42

Jawaban terverifikasi

<p>Jawaban:</p><p>1. 4โˆš3</p><p>2. 0</p><p>3. 50</p><p>4. 40โˆš3 - 90</p><p>&nbsp;</p><p>Konsep:</p><p>* aโˆšb + cโˆšb = (a + c)โˆšb</p><p>* aโˆšb - cโˆšb = (a - c)โˆšb</p><p>* โˆš(aยฒ ยท b) = aโˆšb</p><p>* โˆša ยท โˆša = a</p><p>* โˆša ยท โˆšb = โˆš(a ยท b)</p><p>&nbsp;</p><p>Pembahasan:</p><p>1. 3โˆš3 + โˆš3</p><p>3โˆš3 + โˆš3</p><p>= (3 + 1)โˆš3</p><p>= 4โˆš3</p><p>&nbsp;</p><p>2. 2โˆš20 - โˆš80</p><p>2โˆš20 - โˆš80</p><p>= 2โˆš20 - โˆš(2<sup>2</sup> ยท 20)</p><p>= 2โˆš20 - 2โˆš20</p><p>= (2 - 2)โˆš20</p><p>= 0</p><p>&nbsp;</p><p>3. (3โˆš2 + 2โˆš2)<sup>2</sup></p><p>(3โˆš2 + 2โˆš2)<sup>2</sup></p><p>= ((3 + 2)โˆš2)<sup>2</sup></p><p>= (5โˆš2)<sup>2</sup></p><p>= (5โˆš2)(5โˆš2)</p><p>= 50</p><p>&nbsp;</p><p>4. 5โˆš6 (4โˆš2 - 3โˆš6)</p><p>5โˆš6 (4โˆš2 - 3โˆš6)</p><p>= (5โˆš6)(4โˆš2) - (5โˆš6)(3โˆš6)</p><p>= 20โˆš12 - 15 ยท 6</p><p>= 20โˆš(2<sup>2</sup> ยท 3) - 90</p><p>= 20(2โˆš3) - 90</p><p>= 40โˆš3 - 90</p><p>&nbsp;</p><p>Jadi, hasilnya adalah:</p><p>1. 4โˆš3</p><p>2. 0</p><p>3. 50</p><p>4. 40โˆš3 - 90</p>

Jawaban:

1. 4โˆš3

2. 0

3. 50

4. 40โˆš3 - 90

 

Konsep:

* aโˆšb + cโˆšb = (a + c)โˆšb

* aโˆšb - cโˆšb = (a - c)โˆšb

* โˆš(aยฒ ยท b) = aโˆšb

* โˆša ยท โˆša = a

* โˆša ยท โˆšb = โˆš(a ยท b)

 

Pembahasan:

1. 3โˆš3 + โˆš3

3โˆš3 + โˆš3

= (3 + 1)โˆš3

= 4โˆš3

 

2. 2โˆš20 - โˆš80

2โˆš20 - โˆš80

= 2โˆš20 - โˆš(22 ยท 20)

= 2โˆš20 - 2โˆš20

= (2 - 2)โˆš20

= 0

 

3. (3โˆš2 + 2โˆš2)2

(3โˆš2 + 2โˆš2)2

= ((3 + 2)โˆš2)2

= (5โˆš2)2

= (5โˆš2)(5โˆš2)

= 50

 

4. 5โˆš6 (4โˆš2 - 3โˆš6)

5โˆš6 (4โˆš2 - 3โˆš6)

= (5โˆš6)(4โˆš2) - (5โˆš6)(3โˆš6)

= 20โˆš12 - 15 ยท 6

= 20โˆš(22 ยท 3) - 90

= 20(2โˆš3) - 90

= 40โˆš3 - 90

 

Jadi, hasilnya adalah:

1. 4โˆš3

2. 0

3. 50

4. 40โˆš3 - 90


Hana M

15 Oktober 2023 10:39

terimakasih banyak!

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Lop L

13 Oktober 2023 07:13

Jawaban terverifikasi

1. 3โˆš3 + โˆš3 = 4โˆš3 2. 2โˆš20 - โˆš80 = 2 ร— โˆš4 ร— โˆš5 - โˆš16 ร— โˆš5 = 2 ร— 2 ร— โˆš5 - 4 ร— โˆš5 = 4โˆš5 - 4โˆš5 = 0 3. (3โˆš2 + 2โˆš2)ยฒ (a+b)ยฒ = aยฒ + bยฒ +2ab = (3โˆš2)ยฒ + (2โˆš2)ยฒ + 2(3โˆš2 ร— 2โˆš2) = 17 + 8 + 24 = 50 4. 5โˆš6 (4โˆš2 - 3โˆš6) =(5โˆš6 ร— 4โˆš2) - (5โˆš6 ร— 3โˆš6) = 20โˆš12 - 15โˆš36 = 20โˆš4ร—โˆš3 - 15ร—6 = 20ร—2ร—โˆš3 - 90 = 40โˆš3 - 90


Hana M

15 Oktober 2023 10:40

terimakasih banyak!

Sumber W

Community

13 Oktober 2023 15:48

Jawaban terverifikasi

<p>1. 3โˆš3 + โˆš3 = (3 + 1)โˆš3 = 4โˆš3</p><p>2. 2โˆš20 - โˆš80 = 2(โˆš(4 x 5)) - โˆš(16 x 5)</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = 2(2โˆš5) - 4โˆš5</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = 4โˆš5 - 4โˆš5</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = 0</p><p>3. (3โˆš2 + 2โˆš2)<sup>2</sup> = (5โˆš2)<sup>2</sup></p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= 5<sup>2</sup> . (โˆš2)<sup>2</sup></p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= 25 . 2</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= 50</p><p>4. 5โˆš6 (4โˆš2 - 3โˆš6) = 20โˆš12 - 90</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= 20(โˆš(4 x 3)) - 90</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= 20(2โˆš3) - 90</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= 40โˆš3 - 90</p>

1. 3โˆš3 + โˆš3 = (3 + 1)โˆš3 = 4โˆš3

2. 2โˆš20 - โˆš80 = 2(โˆš(4 x 5)) - โˆš(16 x 5)

                            = 2(2โˆš5) - 4โˆš5

                            = 4โˆš5 - 4โˆš5

                            = 0

3. (3โˆš2 + 2โˆš2)2 = (5โˆš2)2

                               = 52 . (โˆš2)2

                               = 25 . 2

                               = 50

4. 5โˆš6 (4โˆš2 - 3โˆš6) = 20โˆš12 - 90

                                     = 20(โˆš(4 x 3)) - 90

                                     = 20(2โˆš3) - 90

                                     = 40โˆš3 - 90


Hana M

15 Oktober 2023 10:39

terimakasih banyak!

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