Question

Please help me(with all steps) if you are correct I will definitely Mark u the brainliest ​

Answer 1

$6(7 \sqrt{10} - 29)$

Step-by-step explanation:

$2 \sqrt{8} = 2 \sqrt{4 \times 2} = 4 \sqrt{2}$

$\sqrt{72} = \sqrt{36 \times 2} = 6 \sqrt{2}$

$5 \sqrt{20} = 5 \sqrt{5 \times 4} = 10 \sqrt{5}$

The expression becomes,

$(4 \sqrt{2} + 3 \sqrt{5} - 7 \sqrt{2} )(6 \sqrt{2} - 10 \sqrt{5} - 2 \sqrt{2} )$

$= (3 \sqrt{5} - 3 \sqrt{2} )(4 \sqrt{2} - 10 \sqrt{5} )$

$= 6( \sqrt{5} - \sqrt{2} )(2 \sqrt{2} - 5 \sqrt{5} )$

$= 6(2 \sqrt{10} - 25 - 4 + 5 \sqrt{10} )$

$= 6(7 \sqrt{10} - 29)$

Hope this is helpful

Answer 2

Answer:

6(7√10 - 29)

Step-by-step explanation:

Given,

(2√8 + 3√5 - 7√2)(√72 - 5√20 - 2√2)

= (2√(2x4) + 3√5 - 7√2)(√(2x4x9) - 5√(5x4) - 2√2)

= (4√2 + 3√5 - 7√2)(6√2 - 10√5 - 2√2)

= (3√5 - 3√2)(4√2 - 10√5)

= 3(√5 - √2)x2(2√2 - 5√5)

= 6(2√10 - 25 - 4 + 5√10)

= 6(7√10 - 29)