Question

If 7+root 15 is greater than 10 then

Answer 1

Answer:

then 7 plus root 15 is smllr then 10

Answer 2

Answer:

Yes

$7 + \sqrt{15} \: is \: greater \: than \: 10$

Step-by-step explanation:

• We have to find two square root between which ✓15 lies

$\sqrt{9} < \sqrt{15} < \sqrt{16}$

$3 < \sqrt{15} < 4$

So, ✓15 lies between 3 and 4

• Since,

${3.9}^{2} = 3.9 \times 3.9 = 15.21$

And,

$15.21 = 15 \: (approximately)$

Therefore, since √15 is an irrational number,

${3.9}^{2} = 15$

Hence,

$\sqrt{15} = 3.9$

• Now,

$= 7 + \sqrt{15}$

$= 7 + 3.9$

$= 10.9$

Hence proven,

$10.9 > 10$