The simplified value of -72 - -800 - -18 is

√(72)+ √(800) √(18) =√(3^2×2^2×2)+ √(10^2×2^2×2) √(3^2×2) =6√(2)+ 20√(2) 3√(2) =(6+20 3)√(2) =23√(2) ...

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Byju's Answer

Standard IX

Mathematics

Laws of Exponents for Real Numbers

The simplifie...

Question

The simplified value of $\sqrt{72} + \sqrt{800} - \sqrt{18}$ is

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Solution

$\sqrt{72} + \sqrt{800} - \sqrt{18}$

$= \sqrt{3^{2} \times 2^{2} \times 2} + \sqrt{10^{2} \times 2^{2} \times 2} - \sqrt{3^{2} \times 2}$

$= 6 \sqrt{2} + 20 \sqrt{2} - 3 \sqrt{2}$

$= (6 + 20 - 3) \sqrt{2}$

$= 23 \sqrt{2}$

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S i m p l i f y : \sqrt{72} + \sqrt{800} - \sqrt{18}

Simplify√72-√800-√18

Simplify

(i) $3 \sqrt{45} - \sqrt{125} + \sqrt{200} - \sqrt{50}$
(ii) $2 \frac{\sqrt{30}}{\sqrt{6}} - 3 \frac{\sqrt{140}}{\sqrt{28}} + \frac{\sqrt{55}}{\sqrt{99}}$
(iii) $\sqrt{72} + \sqrt{800} - \sqrt{18}$

Simplify:

3√45 - √125 + √200 - √50

2√30/√6 - 3√140/√28 + √55/√99

√72 + √800 - √18

What is the simplified outcome of \sqrt{18} + \sqrt{72} ?

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The simplified value of √72+√800−√18 is

√72+√800−√18=√32×22×2+√102×22×2−√32×2=6√2+20√2−3√2=(6+20−3)√2=23√2

The simplified value of $\sqrt{72} + \sqrt{800} - \sqrt{18}$ is

$\sqrt{72} + \sqrt{800} - \sqrt{18}$

$= \sqrt{3^{2} \times 2^{2} \times 2} + \sqrt{10^{2} \times 2^{2} \times 2} - \sqrt{3^{2} \times 2}$

$= 6 \sqrt{2} + 20 \sqrt{2} - 3 \sqrt{2}$

$= (6 + 20 - 3) \sqrt{2}$

$= 23 \sqrt{2}$