Question

calculati : √25 ; √16 supra 25 ; √0,04,√144;√81;√9 supra 9; √ 16 supra 25 ; √4,5 x √2; √4 x 9 la puterea 2 ; va rog ajutati-ma

Answer 1

$\sqrt{25} = \sqrt{ {5}^{2} } = 5$

$\sqrt{ \frac{16}{25} } = \frac{ \sqrt{16} }{ \sqrt{25} } = \frac{ \sqrt{ {4}^{2} } }{ \sqrt{ {5}^{2} } } = \frac{4}{5}$

$\sqrt{0,04} = \sqrt{ \frac{1}{25} } = \frac{1}{5}$

$\sqrt{144} = \sqrt{ {12}^{2} } = 12$

$\sqrt{81} = \sqrt{ {9}^{2} } = 9$

$\sqrt{ \frac{9}{9} } = \sqrt{1} = 1$

$\sqrt{4,5} \times \sqrt{2} = \sqrt{4,5 \times 2} = \sqrt{9} = \sqrt{ {3}^{2} } = 3$

$1) \sqrt{4} \times {9}^{2} = 2 \times 81 = 162 \\ \\ 2) \sqrt{4 \times {9}^{2} } = \sqrt{4} \sqrt{ {9}^{2} } = \sqrt{ {2}^{2} } \times 9 = 2 \times 9 = 18$

Answer 2

√25 = √5² = 5

√16/25 = √16/√25 = 4/5

√0,04 = √4/100 = √4/√100 = 2/10 = 1/5

√144 = √12² = 12

√81 = √9² = 9

√9/9 = √9/√9 = 3/3 = 1

√4,5 * √2 = √(4,5*2) = √9 = √3² = 3

√(4*9²) = √(4*81) = √324 = √18² = 18