Question

simplify.

a. 3√5×(2√2+5√8
b. (√7+√3)(√7-√3)
c. (2√2-√3)(2√2+√3)
d. (3√3+√5)(3√3-√5)

please answer.​

Answer 1

Step-by-step explanation:

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Answer 2

Given:

Four expressions.

What To Find:

We have to -

• Simplify the expressions.

Answer 1:

3√5(2√2 + 5√8)

Also written as,

⇒ (3√5 × 2√2) + (3√5 × 5√8)

Solve the first brackets,

⇒ 6√10 + (3√5 × 5√8)

Solve the second brackets,

⇒ 6√10 + 15√40

Answer 2:

(√7 + √3) (√7 - √3)

Using the identity (a + b) (a - b) = a² - b²,

⇒ (√7)² - (√3)²

Find the square of √7,

⇒ 7 - (√3)²

Find the square of √3,

⇒ 7 - 3

Subtract 3 from 7,

⇒ 4

Answer 3:

(2√2 - √3) (2√2 + √3)

Using the identity (a + b) (a - b) = a² - b²,

⇒ (2√2)² - (√3)²

Find the square of 2√2,

⇒ 8 - (√3)²

Find the square of √3,

⇒ 8 - 3

Subtract 3 from 8,

⇒ 5

Answer 4:

(3√3 + √5 ) (3√3 - √5)

Using the identity (a + b) (a - b) = a² - b²,

⇒ (3√3)² - (√5)²

Find the square of 3√3,

⇒ 27 - (√5)²

Find the square of √5,

⇒ 27 - 5

Subtract 5 from 27,

⇒ 22