Question

Rationalise the denominator

3
√5− √6

Answer 1

Step-by-step explanation:

Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle)—or, in familiar algebraic notation, a2 + b2 = c2

Answer 2

Step-by-step explanation:

\Large{\bf{\green{\mathfrak{\dag{\underline{\underline{Given:-}}}}}}} †

Given:−

For each ornament, a worker is paid $3.35.

The worker makes 5 ornaments in every 20 min.

\Large{\bf{\orange{\mathfrak{\dag{\underline{\underline{To \: Find:-}}}}}}} †

ToFind:−

Amount earned in 4 hours

\Large{\bf{\red{\mathfrak{\dag{\underline{\underline{Solution:-}}}}}}} †

Solution:−

Ornaments made for every 20 min = 5

Then, in 4 hrs = ?

First,

Converting hrs to min,

1 hr \longrightarrow ⟶ 60 min

4 hr \longrightarrow ⟶ x min

Cross-multiplying,

1 * x = 60 * 4

x = 240 min

Now,

Ornaments made in 240 min = ?

5 ornaments \longrightarrow ⟶ 20 min

x ornaments \longrightarrow ⟶ 240 min

Cross-multiplying,

\sf x \:* \:20\: = \:5 \:* \:240 x∗20=5∗240

\sf 20x \:= \:1200 20x=1200

\sf x \: = \: \dfrac{1200}{20} x=

20

1200

\sf x \: = \: \dfrac{120\cancel{0}}{2\cancel{0}} x=

2

0

120

0

\sf x \: = \: \dfrac{\cancel{120}}{\cancel{2}} x=

2

120

x = 60 ornaments

Now,

Amount earned for 60 ornaments =

1 ornament \longrightarrow ⟶ $3.35

60 ornaments \longrightarrow ⟶ $ x

Cross-multiplying,

1 * x = 60 * 3.35

x = $201

Therefore,

\underline{\boxed{\purple{\tt{Amount \: earned \: by \: the \: worker \: in \: 4 \: hrs \: = \: \$201.}}}}

Amountearnedbytheworkerin4hrs=$201.