Explanation

5 × 5 × 5 = 125, so √³125 = 5.

Explanation

Let's multiply the fractions:

(9/4) × (-4/9) × 2/3

= (9 × -4 × 2) / (4 × 9 × 3)

= -72 / 108

= -2/3

Explanation

Flour per person = 3 cups ÷ 10 people = 0.3 cups per person

For 15 people: 0.3 × 15 = 4.5 cups

Explanation

3/4 = 0.75 and 5/4 = 1.25, so clearly 3/4 is less than 5/4.

Comparing fractions with the same denominator is easy — compare the numerators directly.

Explanation

Explanation

To find the greatest length of a tape that can measure both 52 m and 36 m exactly, we need the HCF (Highest Common Factor) of 52 and 36.

Step-by-step:

Factors of 52: 1, 2, 4, 13, 26, 52

Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36

Common factors: 1, 2, 4

Greatest common factor = 4

Explanation

Explanation

The multiplication inverse (or reciprocal) of 3/5 is:

5/3

When you multiply a fraction by its reciprocal, the result is 1:

(3/5) × (5/3) = 1

The answer is 5/3.

Explanation

Let's simplify 9/√12:

9/√12 = 9/√(4 × 3)

= 9/(2√3)

= (9 × √3) / (2 × 3)

= 3√3 / 2

The additive inverse is the negative of this:

-(3√3 / 2)

Explanation

The empty set is a set with no elements.

It is denoted by { } or Ø.