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How do I solve pic rel? Online calculators keep saying the result is -1 but they don't show any steps which is confusing

thx in advance!

How do I solve pic rel? Online calculators keep saying the result is -1 but they don-example-1

2 Answers

4 votes

Answer:

I also got -1 doing it on my calculator

Explanation:

i first converted it to exponent form to get rid of the radical

(9 - 4(2)^1/2 )^1/2 - 2(2)^1/2 solve inside the first parenthsis

(9 - 4(1.414)^1/2 - 2(2)^1/2

(9 - 5.656)^1/2 - 2(2)^1/2 √2 times 4

(3.343)^1/2 - 2(2)^1/2 9 - √2 times 4

1.828 - 2(2)^1/2 √(9 - √2 times 4)

1.828 - 2(1.414) √(9 - √2 times 4) - 2√2

1.828 - 2.828 √(9 - √2 times 4) - 2√2

-1

User Ykaner
by
5.0k points
3 votes

Answer:

4√2 = 5.657

9 - 5.657 = 3.343

√3.343 = 1.828

2√2 = 2.828

1.828 - 2.828 = -1

User SteveSt
by
5.4k points