Question

Find the square root : 14 +6
$\sqrt{5}$
​

Answer 1

Answer:

14+6√5- is the answerof you

Answer 2

Step-by-step explanation:

Squaring on both sides,

14 + 6V5 = x + y + 2 vxy

14 + 2 v45 = (x+y) +2vxy

Comparing,

(x + y) = 14

xy = 45

Now,

(x - y)? = (x+y)? - 4xy =

(x- y)? = 142 - 180

(x - y)? = 196 - 180 =

(x-y)? = 16

(x - y) = 4

Now,

x + y = 14 x - y = 42x = 18

x= 9.

y = 5.

Therefore Square root of 14 + 6V5 = v9 + = V5 = 3 + V5.

Let's check,

(3+v5)? = 9+5+2(3)(V5)%= 14 + 6v5. =

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