Question

Care număr este mai mare: a (3 + 5)2 sau 32 +52? b (8 – 5)” sau 8 - 52? e (7.5)2 sau 72.52? c 10 sau 6 +822 d (6:3)2 sau 62: 3?? f 33 sau 13 + 23?​

Answer 1

Răspuns:

a) (3+5)²=8²=64

3²+5²=9+25=34

(3+5)² > 3²+5²

b) (8-5)²=3²=9

8²-5²=64-25=39

(8-5)² < 8²-5²

c) 10²=10·10=100

6²+8²=36+64=100

10²=6²+8²

d) (6:3)²=2²=4

6²:3²=36:9=4

(6:2)²=6²:3²

e) (7·5)²=35²=35·35=1225

7²·5²=49·25=1225

(7·5)²= 7²·5²

f) 3³=27

1³+2³=1+8=9

3³ > 1³+2³

Answer 2

Răspuns:

a)

$\bf (3+5)^{2} = 8^{2} = 64$

$\bf 3^{2}+5^{2} = 9+25 = 34$

$\red{\bf (3+5)^{2}~~\boxed{~ >~}~~3^{2}+ 5^{2}}$

b)

$\bf (8-5)^{2} = 3^{2} = 9$

$\bf 8^{2}-5^{2} = 64-25 = 39$

$\green{\bf (8-5)^{2}~~\boxed{~ <~}~~8^{2}- 5^{2}}$

c)

$\bf 10^{2} = 100$

$\bf 6^{2}+8^{2} = 36+64= 100$

$\blue{\bf 10^{2}~~\boxed{~ =~}~~6^{2}+8^{2}}$

d)

$\bf (6:3)^{2} = 2^{2} = 4$

$\bf 6^{2}:3^{2} = 36:9 = 4$

$\purple{\bf (6:3)^{2}~~\boxed{~ =~}~~6^{2}:3^{2}}$

e)

$\bf (7\cdot5)^{2} = 35^{2} = 1225$

$\bf 7^{2}\cdot5^{2} = 49\cdot25 = 1225$

$\pink{\bf (7\cdot5)^{2}~~\boxed{~ =~}~~7^{2}\cdot5^{2}}$

f)

$\bf 3^{3} = 27$

$\bf 1^{3}+2^{3} = 1+8= 9$

$\red{\bf 3^{3}~~\boxed{~ >~}~~1^{3}+ 2^{3}}$

$==pav38==$