-10-15- - -6 -5-5 -6-2510 -5-

The correct option is B 5 √(6) nbsp;√(10)×√(15) = √(10 × 15) [∵√(a)×√(b) = √(ab)] = √(2 × 5 × 3 × 5) √(5^2 × 2 × 3) = 5 √(6) nbsp; ...

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Byju's Answer

Standard IX

Mathematics

Multiplication and Division of Surds

√(10)×√(15) =...

Question

$\sqrt{10} \times \sqrt{15} =$ ______

6 \sqrt{5}

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5 \sqrt{6}

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25

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10 \sqrt{5}

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Solution

The correct option is B $5 \sqrt{6}$
$\sqrt{10} \times \sqrt{15}$

$= \sqrt{10 \times 15} [∵ \sqrt{a} \times \sqrt{b} = \sqrt{a b}]$

$= \sqrt{2 \times 5 \times 3 \times 5}$

$\sqrt{5^{2} \times 2 \times 3}$

$= 5 \sqrt{6}$

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Similar questions

Find the mean of the following data, using step-deviation method:
$\begin{matrix} Class & 5 - 15 & 15 - 25 & 25 - 35 & 35 - 45 & 45 - 55 & 55 - 65 & 65 - 75 Frequency & 6 & 10 & 16 & 15 & 24 & 8 & 7 \end{matrix}$

Find the mean of the following data, using step-deviation method.

Class	5−15	15−25	25−35	35−45	45−55	55−65	65−75
Frequency	6	10	16	15	24	8	7

Q. what is 1-1+10+90-55-5-10-15-15

Q. 15 - 10 = 5
5 + 10 = ____

From the following data identify the median class $:$

Time(hour)	$5 - 15$	$15 - 25$	$25 - 35$	$35 - 45$	$45 - 55$	$55 - 65$
Frequency	$20$	$28$	$17$	$12$	$6$	$17$

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√10×√15= ______

The correct option is B 5√6 √10×√15 =√10×15 [∵√a×√b=√ab] =√2×5×3×5 √52×2×3 =5√6

$\sqrt{10} \times \sqrt{15} =$ ______

The correct option is B $5 \sqrt{6}$
$\sqrt{10} \times \sqrt{15}$

$= \sqrt{10 \times 15} [∵ \sqrt{a} \times \sqrt{b} = \sqrt{a b}]$

$= \sqrt{2 \times 5 \times 3 \times 5}$

$\sqrt{5^{2} \times 2 \times 3}$

$= 5 \sqrt{6}$