Lime
What is the distance between P(–4, 3) and Q(6, 1)?



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ParthKohli
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Use the distance formula., if you know it!

ParthKohli
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\[distance = {\sqrt(x_2  x_1)^2 + (y_2  y_1)^2}\]

Lime
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\[d = \sqrt(x^2  x^1)^2 + (y^2  y^1)^2\]

ParthKohli
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Yeah, but 2 and 1 are subs... not exponents!

Lime
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\[d = \sqrt(3  1)^2 + (4 + 6)^2?\]

Lime
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\[= \sqrt(2)^2 + (10)^2\]

Lime
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\[\sqrt(4 + 100) = \sqrt(104) \approx \]

ParthKohli
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Yes

Lime
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And rounded to the nearest tenth is approximately 10.2? Thanks @ParthKohli ! :)

ParthKohli
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Actually you can express it in radical form, since that's more accurate!

ParthKohli
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1042
522
262
1313


ParthKohli
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\[\sqrt{104 } \implies \sqrt{2 \times 2 \times 2 \times 13} \implies 2\sqrt{26}\]