Question

(3✓5)² найдите значение выражения –––– . 15

Answer 1

(3✓5)² =9*5
(3✓5)² /15=45/15=3

Answer 2

To find the value of the expression (3√5)² ÷ 15, first, let's simplify the expression inside the square root:

3√5 = √(5^(1/3))

Now, we'll square this expression:

(√(5^(1/3)))² = √(5^(1/3)) * √(5^(1/3)) = √(5^(1/3) * 5^(1/3)) = √(5^(2/3)) = 5^(2/3)

Now, let's substitute this value into the original expression:

(3√5)² ÷ 15 = (5^(2/3)) ÷ 15

To simplify this further, we can rewrite 15 as 3 * 5:

(5^(2/3)) ÷ 15 = (5^(2/3)) ÷ (3 * 5) = (5^(2/3)) ÷ 5 = 5^(2/3 - 1) = 5^(2/3 - 3/3) = 5^(-1/3)

Recall that a negative exponent means the reciprocal of the base with the positive exponent. So:

5^(-1/3) = 1 / 5^(1/3)

Now, the expression becomes:

1 / 5^(1/3)

This is the final simplified value of the expression (3√5)² ÷ 15.