Question

√5 x √7 x √15 x √21 in simplified form

Answer 1

The following have to be multiplied

○root of(5)

○root of(7)

○root of(15)=root of(3×5)

○root of(21)=root of(3×7)

Product =root of(5×7×15×21)

=root of(5×7×3×5×3×7)

=root of(5×5×3×3×7×7)

=5×3×7=105

Therefore your answer is as follows

Product =105

Answer 2

Answer:

The square root of $\sqrt{5} *\sqrt{7} *\sqrt{15} *\sqrt{21}$ is $105$.

Step-by-step explanation:

Given:

$\sqrt{5} *\sqrt{7} *\sqrt{15} *\sqrt{21}$

To find:

$\sqrt{5} *\sqrt{7} *\sqrt{15} *\sqrt{21}$ in simplified form

Step 1

A factor of a number that, when multiplied by itself, shows the original number.

The positive number, when multiplied by itself, denotes the square of the number. The square root of the square of a positive number shows the original number.

Step 2

Let $\sqrt{5} *\sqrt{7} *\sqrt{15} *\sqrt{21}$

simplifying the above equation

Taking roots as common then we get,

$&=\sqrt{7 \times 5 \times 15 \times 21}$

Multiplying the values

$&=\sqrt{11025}$

$&=105$

Therefore, the square root of $\sqrt{5} *\sqrt{7} *\sqrt{15} *\sqrt{21}$ is $105$.

#SPJ2