Question

sqrt(13+x *sqrt(10))=sqrt(8)+sqrt(5) then find x

Answer 1

$\bold{Answer :}$

Given that,

√(13 + x√10) = √8 + √5

Squaring both sides, we get

{√(13 + x√10)}² = (√8 + √5)²

⇒ 13 + x√10 = 8 + 2√40 + 5

⇒ 13 + x√10 = 13 + 4√10

⇒ x√10 = 4√10

⇒ x = 4

∴ the required solution be $\bold{x = 4}$

#$\bold{MarkAsBrainliest}$

Answer 2

Step-by-step explanation:

√(13 + x√10) = √8 + √5

Squaring both sides, we get

{√(13 + x√10)}² = (√8 + √5)²

⇒ 13 + x√10 = 8 + 2√40 + 5

⇒ 13 + x√10 = 13 + 4√10

⇒ x√10 = 4√10

⇒ x = 4

∴ the required solution be \bold{x = 4}x=4

#\bold{MarkAsBrainliest}MarkAsBrainliest