Question

30 points!!! √8+√98+√32.​

Answer 1

Let us first resolve the given numbers into prime factors.

By prime factorization,

$\longmapsto$ √8 = √( 2 × 2 × 2)

$\longmapsto$ √8 = 2√2

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

$\longmapsto$ √98 = √( 2 × 7 × 7)

$\longmapsto$ √98 = 7√2

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

$\longmapsto$ √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

Answer 2

Answer:

13√2 or 18.38478

Step-by-step explanation:

i hope this helps :)