Question

Simplifique: a)10√24 b)27 c)√38 d)3√x3 e)√1000000 f)4√10000 g) 5√1000000 h)5√64

Answer 1

$10 \sqrt{24} = 10 \sqrt{ {2}^{2} \cdot } = 20 \sqrt{6}$

$\sqrt{27} = \sqrt{ {3}^{2} \cdot3} = 3 \sqrt{3}$

$\sqrt{38} = \sqrt{2} \cdot \sqrt{19}$

$3 \sqrt{ {x}^{3} } = 3 \sqrt{ {x}^{2}\cdot x } = 3x \sqrt{x}$

$\sqrt{1000000} = \sqrt{ {1000}^{2} } = 1000$

$4 \sqrt{10000} = 4 \sqrt{ {100}^{2} } = 4\cdot100 = 400$

$5 \sqrt{1000000} = 5 \sqrt{ {1000}^{2} } = 5\cdot1000 = 5000$

$5 \sqrt{64} = 5 \sqrt{ {8}^{2} } = 5\cdot8 = 40$

Answer 2

Oie, Td Bom?!

a)

$10 \sqrt{24}$

$10 \sqrt{2 {}^{2} \times 6 }$

$10 \sqrt{2 {}^{2} } \sqrt{6}$

$1 0\times 2 \sqrt{6}$

$20 \sqrt{6}$

b)

$\sqrt{27}$

$\sqrt{3 {}^{2} \times 3 }$

$\sqrt{3 {}^{2} } \sqrt{3}$

$3 \sqrt{3}$

c)

$\sqrt{38}$

$\sqrt{2} \times \sqrt{19}$

d)

$3 \sqrt{x {}^{3} }$

$3 \sqrt{x {}^{2} .x}$

$3 \sqrt{x {}^{2} } \sqrt{x}$

$3x \sqrt{x}$

e)

$\sqrt{1000000}$

$\sqrt{1000 {}^{2} }$

$1000$

f)

$4 \sqrt{10000}$

$4 \times 100$

$400$

g)

$5 \sqrt{1000000}$

$5 \times 1000$

$5000$

h)

$5 \sqrt{64}$

$5 \times 8$

$40$

Att. Makaveli1996