Math, asked by nileshash, 1 year ago

simplify (3+√3)(5-√2)

Answers

Answered by Anonymous
38
HEY BUDDY !!!

HERE IS UR ANSWER

___________________

( 3 + √ 3 ) × ( 5 - √ 2 )

= 15 - 3 √ 2 + 5 √ 3 - √ 6

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Answered by nafibarli789
0

Answer:

The value of (3+√3)(5-√2) is $$15-3 \sqrt{2}+5 \sqrt{3}-\sqrt{6}$$.

Step-by-step explanation:

FOIL method

FOIL exists as a mnemonic for the standard technique of multiplying two binomials. Hence the technique may be referred to as the FOIL method. The word FOIL exists as an acronym for the four terms of the product: First ("first" terms of each binomial exists multiplied together)

Given:

$$(3+\sqrt{3})(5-\sqrt{2})$$

To find:

the value of (3+√3)(5-√2)

Step 1

Let, $$(3+\sqrt{3})(5-\sqrt{2})$$

By using the FOIL method

$(a+b)(c+d)=a c+a d+b c+b d$

Step 2

Simplifying the above equation, we get

$$(3+\sqrt{3})(5-\sqrt{2})=3 \cdot 5+3(-\sqrt{2})+\sqrt{3} \cdot 5+\sqrt{3}(-\sqrt{2})$$

$$=3 \cdot 5+3(-\sqrt{2})+\sqrt{3} \cdot 5+\sqrt{3}(-\sqrt{2})$$

$3 \cdot 5+3(-\sqrt{2})+\sqrt{3} \cdot 5+\sqrt{3}(-\sqrt{2})=15-3 \sqrt{2}+5 \sqrt{3}-\sqrt{6}$

$$=15-3 \sqrt{2}+5 \sqrt{3}-\sqrt{6}$$

Therefore, the value of (3+√3)(5-√2) is $$15-3 \sqrt{2}+5 \sqrt{3}-\sqrt{6}$$.

#SPJ2

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