Question

30 points!!!

√8+√98+√32.​

Answer 1

13√2 or 18.38478

Explanation:

i hope this helps :)

Answer 2

Let us first resolve the given numbers into prime factors.

By prime factorization,

`\longmapsto` √8 = √( 2 × 2 × 2)

`\longmapsto` √8 = 2√2

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`\longmapsto` √98 = √( 2 × 7 × 7)

`\longmapsto` √98 = 7√2

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`\longmapsto` √32 = √( 2 × 2 × 2 × 2 × 2)

`\longmapsto` √32 = 2 × 2√2

`\longmapsto` √32 = 4√2

According to the question,

`\longmapsto` √8+√98+√32

`\longmapsto` 2√2 + 7√2 + 4√2

• Taking √2 as common.

`\longmapsto` √2(2 + 7 + 4)

`\longmapsto` √2(13)

`\longmapsto` 13√2

So, we get that :

√8+√98+√32 → 13√2