Respuesta :

cv0627

Answer:

13√2 or 18.38478

Step-by-step explanation:

i hope this helps :)

HealingPearl

Let us first resolve the given numbers into prime factors.

By prime factorization,

[tex] \longmapsto [/tex] √8 = √( 2 × 2 × 2)

[tex] \longmapsto [/tex] √8 = 2√2

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

[tex] \longmapsto [/tex] √98 = √( 2 × 7 × 7)

[tex] \longmapsto [/tex] √98 = 7√2

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

[tex] \longmapsto [/tex] √32 = √( 2 × 2 × 2 × 2 × 2)

[tex] \longmapsto [/tex] √32 = 2 × 2√2

[tex] \longmapsto [/tex] √32 = 4√2

According to the question,

[tex] \longmapsto [/tex] √8+√98+√32

[tex] \longmapsto [/tex] 2√2 + 7√2 + 4√2

  • Taking √2 as common.

[tex] \longmapsto [/tex] √2(2 + 7 + 4)

[tex] \longmapsto [/tex] √2(13)

[tex] \longmapsto [/tex] 13√2

So, we get that :

√8+√98+√32 → 13√2

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