Question

А)√81*0,36. б)√75/√3. в)50/(2√10)2

Answer 1

$1)\sqrt{81*0,36}=\sqrt{9^{2}*0,6^{2} }=9*0,6=5,4\\\\2)\frac{\sqrt{75} }{\sqrt{3} }=\sqrt{\frac{25*3}{3} } =\sqrt{25}=5\\\\3)\frac{50}{(2\sqrt{10})^{2}} =\frac{50}{4*10}=\frac{5}{4}=1,25$

Answer 2

Let's solve each of these expressions step by step:

А) √81 * 0.36

First, let's find the square root of 81: √81 = 9

Now, multiply the result by 0.36: 9 * 0.36 = 3.24

Answer: 3.24

Б) √75 / √3

First, find the square root of 75: √75 ≈ 8.6603 (rounded to four decimal places)

Next, find the square root of 3: √3 ≈ 1.7321 (rounded to four decimal places)

Now, divide the two results: 8.6603 / 1.7321 ≈ 5 (rounded to the nearest whole number)

Answer: 5

В) 50 / (2√10)^2

First, evaluate the expression inside the parentheses: 2√10 ≈ 6.3246 (rounded to four decimal places)

Next, square the result: (6.3246)^2 ≈ 40 (rounded to the nearest whole number)

Now, divide 50 by the squared result: 50 / 40 = 1.25

Answer: 1.25

So, the final answers are: А) 3.24 Б) 5 В) 1.25