Question

√10 X √15 is equal to *

(a) 6√5

(b) 5√6

(c) √25

(d) 10√5

​

Answer 1

Answer:

(b)

Step-by-step explanation:

√10 × √15 = 12.247.....

5√6= 12.247....

Answer 2

Answer :

(b) 5√6

_______________________

$\bf \: \sqrt{a} \: \times \: \sqrt{b} \: = \sqrt{ab}$

$\bf \sqrt{10} \: \times \: \sqrt{15} \: = \sqrt{10 \times 15} = \sqrt{150}$

Factors of 150

$\bf 150 = 1 \times 3 \times 50$

$\to \bf 1 \times 3 \times 5 \times 10$

$\to \bf 15 = 1 \times 3 \times 5 \times 2 \times 5$

$\bf : \implies \sqrt{150}$

$: \implies \bf \sqrt{1 \times 3 \times 5 \times 2 \times 5}$

$: \implies \boxed{\color{red}\bf \sqrt[5]{6} }$

The correct Answer is option (b) 5√6 ✔✔