Explanation

Let's simplify the expression:

√(12 + 2√35)

This can be rewritten as:

√(7 + 5 + 2√(7 × 5))

= √(√7 + √5)²

= √7 + √5

Explanation

Let's evaluate the expression step by step:

1. Calculate 2022²:

2022² = 4,088,484

2. Calculate 1²:

1² = 1

3. Calculate 2022² - 1²:

4,088,484 - 1 = 4,088,483

4. Divide by 2021:

4,088,483 ÷ 2021 = 2023

Explanation

Let's calculate:

5! = 5 × 4 × 3 × 2 × 1 = 120

√120 + 1 

√121 = √11×11

= 11

Explanation

Given the equation and solution path:

5^x + 2 - 5x = 600

If we interpret it as 5^(x+2) - 5^x = 600 (based on your calculation):

5^(2+2) - 5^2 = 5^4 - 5^2 = 625 - 25 = 600

This calculation implies x = 2 fits perfectly if the equation is treated as 5^(x+2) - 5^x = 600.

The value of x is 2.

Explanation

= √(200 + 6 × 10 - 4)/ 16

= √(200 + 60 - 4)/ 16

= √(260 - 4)/ 16

= √(256)/ 16

= 16 / 16

= 1

Explanation

Explanation

Explanation

We use "for" when referring to the purpose or reason for a gift.

So, "She gave me a watch for my birthday" is the correct and natural expression.

Explanation

The correct preposition used with "pay" when referring to cheque is "by".

So the correct sentence is: "You may pay by cheque".

Explanation