Question

Вычислите a) 1/3√18 + 3√8 - √98 b) √2 * (√8+4√2) v) (√3+5) cтепень 2 g) (√5+√3)(√5-√3)

Answer 1

А) 1/3*3√2+3*2√2-7√2=√2+6√2-7√2=0
b)√2*(2√2+4√2)=√2*6√2=2*6=12
v)28+10√3=45,3205
g)5-3=2

Answer 2

a) 1/3√18 + 3√8 - √98

First, simplify the square roots: 1/3√18 = √2 3√8 = 3√2 √98 = 7√2

Now, substitute the simplified square roots back into the original expression: √2 + 3√2 - 7√2 = 4√2 - 7√2 = -3√2

b) √2 * (√8 + 4√2)

First, simplify the square roots: √8 = 2√2

Now, substitute the simplified square roots back into the original expression: √2 * (2√2 + 4√2) = √2 * 6√2 = 6√4 = 6 * 2 = 12

c) (√3 + 5)^2

First, expand the expression: (√3 + 5)(√3 + 5) = √3 * √3 + √3 * 5 + 5 * √3 + 5 * 5 = 3 + 5√3 + 5√3 + 25 = 28 + 10√3

g) (√5 + √3)(√5 - √3)

This is a difference of squares, so we can use the formula a^2 - b^2 = (a + b)(a - b): (√5 + √3)(√5 - √3) = (√5)^2 - (√3)^2 = 5 - 3 = 2